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Finding the Fourth Proportional to 187.45, 258.48 and 113.75

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Solution

The fourth proportional to 187.45, 258.48 and 113.75 is: 156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.45 : 258.48 = 113.75 : x
  2. Step 2: Convert to fraction form
    187.45/258.48 = 113.75/x
  3. Step 3: Cross multiply
    187.45x = 258.48 × 113.75
  4. Step 4: Simplify right side
    187.45x = 29,402.10
  5. Step 5: Solve for x
    x = 29,402.10/187.45
  6. Step 6: Final answer
    x = 156.85

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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.