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Finding the Fourth Proportional to 157.52, 235.18 and 142.40

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Solution

The fourth proportional to 157.52, 235.18 and 142.40 is: 212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.52 : 235.18 = 142.40 : x
  2. Step 2: Convert to fraction form
    157.52/235.18 = 142.40/x
  3. Step 3: Cross multiply
    157.52x = 235.18 × 142.40
  4. Step 4: Simplify right side
    157.52x = 33,489.63
  5. Step 5: Solve for x
    x = 33,489.63/157.52
  6. Step 6: Final answer
    x = 212.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.