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Finding the Fourth Proportional to 292.29, 440.00 and 224.66

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Solution

The fourth proportional to 292.29, 440.00 and 224.66 is: 338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.29 : 440.00 = 224.66 : x
  2. Step 2: Convert to fraction form
    292.29/440.00 = 224.66/x
  3. Step 3: Cross multiply
    292.29x = 440.00 × 224.66
  4. Step 4: Simplify right side
    292.29x = 98,847.08
  5. Step 5: Solve for x
    x = 98,847.08/292.29
  6. Step 6: Final answer
    x = 338.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.