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Finding the Fourth Proportional to 188.56, 260.16 and 129.52

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Solution

The fourth proportional to 188.56, 260.16 and 129.52 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.56 : 260.16 = 129.52 : x
  2. Step 2: Convert to fraction form
    188.56/260.16 = 129.52/x
  3. Step 3: Cross multiply
    188.56x = 260.16 × 129.52
  4. Step 4: Simplify right side
    188.56x = 33,695.92
  5. Step 5: Solve for x
    x = 33,695.92/188.56
  6. Step 6: Final answer
    x = 178.70

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