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Finding the Fourth Proportional to 224.70, 309.93 and 136.15

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Solution

The fourth proportional to 224.70, 309.93 and 136.15 is: 187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.70 : 309.93 = 136.15 : x
  2. Step 2: Convert to fraction form
    224.70/309.93 = 136.15/x
  3. Step 3: Cross multiply
    224.70x = 309.93 × 136.15
  4. Step 4: Simplify right side
    224.70x = 42,196.97
  5. Step 5: Solve for x
    x = 42,196.97/224.70
  6. Step 6: Final answer
    x = 187.79

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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.