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Finding the Fourth Proportional to 157.43, 237.17 and 144.06

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Solution

The fourth proportional to 157.43, 237.17 and 144.06 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.43 : 237.17 = 144.06 : x
  2. Step 2: Convert to fraction form
    157.43/237.17 = 144.06/x
  3. Step 3: Cross multiply
    157.43x = 237.17 × 144.06
  4. Step 4: Simplify right side
    157.43x = 34,165.99
  5. Step 5: Solve for x
    x = 34,165.99/157.43
  6. Step 6: Final answer
    x = 217.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.