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Finding the Fourth Proportional to 187.57, 258.87 and 125.38

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Solution

The fourth proportional to 187.57, 258.87 and 125.38 is: 173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 258.87 = 125.38 : x
  2. Step 2: Convert to fraction form
    187.57/258.87 = 125.38/x
  3. Step 3: Cross multiply
    187.57x = 258.87 × 125.38
  4. Step 4: Simplify right side
    187.57x = 32,457.12
  5. Step 5: Solve for x
    x = 32,457.12/187.57
  6. Step 6: Final answer
    x = 173.04

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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.