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Finding the Fourth Proportional to 157.23, 216.51 and 129.55

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Solution

The fourth proportional to 157.23, 216.51 and 129.55 is: 178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.23 : 216.51 = 129.55 : x
  2. Step 2: Convert to fraction form
    157.23/216.51 = 129.55/x
  3. Step 3: Cross multiply
    157.23x = 216.51 × 129.55
  4. Step 4: Simplify right side
    157.23x = 28,049.71
  5. Step 5: Solve for x
    x = 28,049.71/157.23
  6. Step 6: Final answer
    x = 178.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.