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Finding the Fourth Proportional to 187.31, 258.53 and 109.70

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Solution

The fourth proportional to 187.31, 258.53 and 109.70 is: 151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.31 : 258.53 = 109.70 : x
  2. Step 2: Convert to fraction form
    187.31/258.53 = 109.70/x
  3. Step 3: Cross multiply
    187.31x = 258.53 × 109.70
  4. Step 4: Simplify right side
    187.31x = 28,360.74
  5. Step 5: Solve for x
    x = 28,360.74/187.31
  6. Step 6: Final answer
    x = 151.41

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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.