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Finding the Fourth Proportional to 642.06, 962.92 and 179.76

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Solution

The fourth proportional to 642.06, 962.92 and 179.76 is: 269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 962.92 = 179.76 : x
  2. Step 2: Convert to fraction form
    642.06/962.92 = 179.76/x
  3. Step 3: Cross multiply
    642.06x = 962.92 × 179.76
  4. Step 4: Simplify right side
    642.06x = 173,094.50
  5. Step 5: Solve for x
    x = 173,094.50/642.06
  6. Step 6: Final answer
    x = 269.59

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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.