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Finding the Fourth Proportional to 187.56, 258.72 and 109.92

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Solution

The fourth proportional to 187.56, 258.72 and 109.92 is: 151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.56 : 258.72 = 109.92 : x
  2. Step 2: Convert to fraction form
    187.56/258.72 = 109.92/x
  3. Step 3: Cross multiply
    187.56x = 258.72 × 109.92
  4. Step 4: Simplify right side
    187.56x = 28,438.50
  5. Step 5: Solve for x
    x = 28,438.50/187.56
  6. Step 6: Final answer
    x = 151.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.