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Finding the Fourth Proportional to 187.14, 280.97 and 125.65

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Solution

The fourth proportional to 187.14, 280.97 and 125.65 is: 188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.14 : 280.97 = 125.65 : x
  2. Step 2: Convert to fraction form
    187.14/280.97 = 125.65/x
  3. Step 3: Cross multiply
    187.14x = 280.97 × 125.65
  4. Step 4: Simplify right side
    187.14x = 35,304.07
  5. Step 5: Solve for x
    x = 35,304.07/187.14
  6. Step 6: Final answer
    x = 188.65

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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.