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Finding the Fourth Proportional to 187.26, 258.27 and 113.52

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Solution

The fourth proportional to 187.26, 258.27 and 113.52 is: 156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.26 : 258.27 = 113.52 : x
  2. Step 2: Convert to fraction form
    187.26/258.27 = 113.52/x
  3. Step 3: Cross multiply
    187.26x = 258.27 × 113.52
  4. Step 4: Simplify right side
    187.26x = 29,318.81
  5. Step 5: Solve for x
    x = 29,318.81/187.26
  6. Step 6: Final answer
    x = 156.57

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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.