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Finding the Fourth Proportional to 157.01, 234.17 and 137.87

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Solution

The fourth proportional to 157.01, 234.17 and 137.87 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.01 : 234.17 = 137.87 : x
  2. Step 2: Convert to fraction form
    157.01/234.17 = 137.87/x
  3. Step 3: Cross multiply
    157.01x = 234.17 × 137.87
  4. Step 4: Simplify right side
    157.01x = 32,285.02
  5. Step 5: Solve for x
    x = 32,285.02/157.01
  6. Step 6: Final answer
    x = 205.63

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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.