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Finding the Fourth Proportional to 188.55, 260.39 and 129.70

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Solution

The fourth proportional to 188.55, 260.39 and 129.70 is: 179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.55 : 260.39 = 129.70 : x
  2. Step 2: Convert to fraction form
    188.55/260.39 = 129.70/x
  3. Step 3: Cross multiply
    188.55x = 260.39 × 129.70
  4. Step 4: Simplify right side
    188.55x = 33,772.58
  5. Step 5: Solve for x
    x = 33,772.58/188.55
  6. Step 6: Final answer
    x = 179.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.