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Finding the Fourth Proportional to 188.80, 260.48 and 115.14

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Solution

The fourth proportional to 188.80, 260.48 and 115.14 is: 158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.80 : 260.48 = 115.14 : x
  2. Step 2: Convert to fraction form
    188.80/260.48 = 115.14/x
  3. Step 3: Cross multiply
    188.80x = 260.48 × 115.14
  4. Step 4: Simplify right side
    188.80x = 29,991.67
  5. Step 5: Solve for x
    x = 29,991.67/188.80
  6. Step 6: Final answer
    x = 158.85

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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.