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Finding the Fourth Proportional to 188.74, 283.29 and 86.14

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Solution

The fourth proportional to 188.74, 283.29 and 86.14 is: 129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.74 : 283.29 = 86.14 : x
  2. Step 2: Convert to fraction form
    188.74/283.29 = 86.14/x
  3. Step 3: Cross multiply
    188.74x = 283.29 × 86.14
  4. Step 4: Simplify right side
    188.74x = 24,402.60
  5. Step 5: Solve for x
    x = 24,402.60/188.74
  6. Step 6: Final answer
    x = 129.29

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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.