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Finding the Fourth Proportional to 224.20, 309.36 and 130.96

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Solution

The fourth proportional to 224.20, 309.36 and 130.96 is: 180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.20 : 309.36 = 130.96 : x
  2. Step 2: Convert to fraction form
    224.20/309.36 = 130.96/x
  3. Step 3: Cross multiply
    224.20x = 309.36 × 130.96
  4. Step 4: Simplify right side
    224.20x = 40,513.79
  5. Step 5: Solve for x
    x = 40,513.79/224.20
  6. Step 6: Final answer
    x = 180.70

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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.