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Finding the Fourth Proportional to 157.96, 235.88 and 129.13

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Solution

The fourth proportional to 157.96, 235.88 and 129.13 is: 192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.96 : 235.88 = 129.13 : x
  2. Step 2: Convert to fraction form
    157.96/235.88 = 129.13/x
  3. Step 3: Cross multiply
    157.96x = 235.88 × 129.13
  4. Step 4: Simplify right side
    157.96x = 30,458.54
  5. Step 5: Solve for x
    x = 30,458.54/157.96
  6. Step 6: Final answer
    x = 192.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.