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Finding the Fourth Proportional to 157.13, 235.19 and 142.16

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Solution

The fourth proportional to 157.13, 235.19 and 142.16 is: 212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.13 : 235.19 = 142.16 : x
  2. Step 2: Convert to fraction form
    157.13/235.19 = 142.16/x
  3. Step 3: Cross multiply
    157.13x = 235.19 × 142.16
  4. Step 4: Simplify right side
    157.13x = 33,433.90
  5. Step 5: Solve for x
    x = 33,433.90/157.13
  6. Step 6: Final answer
    x = 212.78

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Why These Related Problems?

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