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Finding the Fourth Proportional to 392.64, 589.29 and 149.34

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Solution

The fourth proportional to 392.64, 589.29 and 149.34 is: 224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 589.29 = 149.34 : x
  2. Step 2: Convert to fraction form
    392.64/589.29 = 149.34/x
  3. Step 3: Cross multiply
    392.64x = 589.29 × 149.34
  4. Step 4: Simplify right side
    392.64x = 88,004.57
  5. Step 5: Solve for x
    x = 88,004.57/392.64
  6. Step 6: Final answer
    x = 224.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.