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Finding the Fourth Proportional to 224.12, 308.92 and 187.08

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Solution

The fourth proportional to 224.12, 308.92 and 187.08 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 308.92 = 187.08 : x
  2. Step 2: Convert to fraction form
    224.12/308.92 = 187.08/x
  3. Step 3: Cross multiply
    224.12x = 308.92 × 187.08
  4. Step 4: Simplify right side
    224.12x = 57,792.75
  5. Step 5: Solve for x
    x = 57,792.75/224.12
  6. Step 6: Final answer
    x = 257.87

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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.