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Finding the Fourth Proportional to 342.86, 473.13 and 224.78

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Solution

The fourth proportional to 342.86, 473.13 and 224.78 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.86 : 473.13 = 224.78 : x
  2. Step 2: Convert to fraction form
    342.86/473.13 = 224.78/x
  3. Step 3: Cross multiply
    342.86x = 473.13 × 224.78
  4. Step 4: Simplify right side
    342.86x = 106,347.80
  5. Step 5: Solve for x
    x = 106,347.80/342.86
  6. Step 6: Final answer
    x = 310.18

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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.