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Finding the Fourth Proportional to 641.78, 962.66 and 179.57

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Solution

The fourth proportional to 641.78, 962.66 and 179.57 is: 269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.78 : 962.66 = 179.57 : x
  2. Step 2: Convert to fraction form
    641.78/962.66 = 179.57/x
  3. Step 3: Cross multiply
    641.78x = 962.66 × 179.57
  4. Step 4: Simplify right side
    641.78x = 172,864.86
  5. Step 5: Solve for x
    x = 172,864.86/641.78
  6. Step 6: Final answer
    x = 269.35

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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.