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Finding the Fourth Proportional to 188.29, 282.14 and 142.61

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Solution

The fourth proportional to 188.29, 282.14 and 142.61 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.29 : 282.14 = 142.61 : x
  2. Step 2: Convert to fraction form
    188.29/282.14 = 142.61/x
  3. Step 3: Cross multiply
    188.29x = 282.14 × 142.61
  4. Step 4: Simplify right side
    188.29x = 40,234.57
  5. Step 5: Solve for x
    x = 40,234.57/188.29
  6. Step 6: Final answer
    x = 213.68

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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.