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Finding the Fourth Proportional to 187.59, 258.68 and 109.95

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Solution

The fourth proportional to 187.59, 258.68 and 109.95 is: 151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.59 : 258.68 = 109.95 : x
  2. Step 2: Convert to fraction form
    187.59/258.68 = 109.95/x
  3. Step 3: Cross multiply
    187.59x = 258.68 × 109.95
  4. Step 4: Simplify right side
    187.59x = 28,441.32
  5. Step 5: Solve for x
    x = 28,441.32/187.59
  6. Step 6: Final answer
    x = 151.61

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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.