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Finding the Fourth Proportional to 187.19, 280.89 and 105.10

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Solution

The fourth proportional to 187.19, 280.89 and 105.10 is: 157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.19 : 280.89 = 105.10 : x
  2. Step 2: Convert to fraction form
    187.19/280.89 = 105.10/x
  3. Step 3: Cross multiply
    187.19x = 280.89 × 105.10
  4. Step 4: Simplify right side
    187.19x = 29,521.13
  5. Step 5: Solve for x
    x = 29,521.13/187.19
  6. Step 6: Final answer
    x = 157.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.