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Finding the Fourth Proportional to 157.87, 237.23 and 117.16

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Solution

The fourth proportional to 157.87, 237.23 and 117.16 is: 176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.87 : 237.23 = 117.16 : x
  2. Step 2: Convert to fraction form
    157.87/237.23 = 117.16/x
  3. Step 3: Cross multiply
    157.87x = 237.23 × 117.16
  4. Step 4: Simplify right side
    157.87x = 27,793.87
  5. Step 5: Solve for x
    x = 27,793.87/157.87
  6. Step 6: Final answer
    x = 176.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.