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Finding the Fourth Proportional to 157.70, 234.87 and 156.92

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Solution

The fourth proportional to 157.70, 234.87 and 156.92 is: 233.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 234.87 = 156.92 : x
  2. Step 2: Convert to fraction form
    157.70/234.87 = 156.92/x
  3. Step 3: Cross multiply
    157.70x = 234.87 × 156.92
  4. Step 4: Simplify right side
    157.70x = 36,854.63
  5. Step 5: Solve for x
    x = 36,854.63/157.70
  6. Step 6: Final answer
    x = 233.71

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