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Finding the Fourth Proportional to 157.10, 217.05 and 144.14

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Solution

The fourth proportional to 157.10, 217.05 and 144.14 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.10 : 217.05 = 144.14 : x
  2. Step 2: Convert to fraction form
    157.10/217.05 = 144.14/x
  3. Step 3: Cross multiply
    157.10x = 217.05 × 144.14
  4. Step 4: Simplify right side
    157.10x = 31,285.59
  5. Step 5: Solve for x
    x = 31,285.59/157.10
  6. Step 6: Final answer
    x = 199.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.