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Finding the Fourth Proportional to 224.47, 309.36 and 176.41

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Solution

The fourth proportional to 224.47, 309.36 and 176.41 is: 243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.47 : 309.36 = 176.41 : x
  2. Step 2: Convert to fraction form
    224.47/309.36 = 176.41/x
  3. Step 3: Cross multiply
    224.47x = 309.36 × 176.41
  4. Step 4: Simplify right side
    224.47x = 54,574.20
  5. Step 5: Solve for x
    x = 54,574.20/224.47
  6. Step 6: Final answer
    x = 243.12

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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.