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Finding the Fourth Proportional to 294.30, 440.82 and 149.58

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Solution

The fourth proportional to 294.30, 440.82 and 149.58 is: 224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 440.82 = 149.58 : x
  2. Step 2: Convert to fraction form
    294.30/440.82 = 149.58/x
  3. Step 3: Cross multiply
    294.30x = 440.82 × 149.58
  4. Step 4: Simplify right side
    294.30x = 65,937.86
  5. Step 5: Solve for x
    x = 65,937.86/294.30
  6. Step 6: Final answer
    x = 224.05

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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.