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Finding the Fourth Proportional to 641.86, 962.76 and 179.66

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Solution

The fourth proportional to 641.86, 962.76 and 179.66 is: 269.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.86 : 962.76 = 179.66 : x
  2. Step 2: Convert to fraction form
    641.86/962.76 = 179.66/x
  3. Step 3: Cross multiply
    641.86x = 962.76 × 179.66
  4. Step 4: Simplify right side
    641.86x = 172,969.46
  5. Step 5: Solve for x
    x = 172,969.46/641.86
  6. Step 6: Final answer
    x = 269.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.