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Finding the Fourth Proportional to 155.96, 234.17 and 142.74

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Solution

The fourth proportional to 155.96, 234.17 and 142.74 is: 214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 234.17 = 142.74 : x
  2. Step 2: Convert to fraction form
    155.96/234.17 = 142.74/x
  3. Step 3: Cross multiply
    155.96x = 234.17 × 142.74
  4. Step 4: Simplify right side
    155.96x = 33,424.71
  5. Step 5: Solve for x
    x = 33,424.71/155.96
  6. Step 6: Final answer
    x = 214.32

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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.