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Finding the Fourth Proportional to 224.48, 309.78 and 137.10

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Solution

The fourth proportional to 224.48, 309.78 and 137.10 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.48 : 309.78 = 137.10 : x
  2. Step 2: Convert to fraction form
    224.48/309.78 = 137.10/x
  3. Step 3: Cross multiply
    224.48x = 309.78 × 137.10
  4. Step 4: Simplify right side
    224.48x = 42,470.84
  5. Step 5: Solve for x
    x = 42,470.84/224.48
  6. Step 6: Final answer
    x = 189.20

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Why These Related Problems?

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