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Finding the Fourth Proportional to 423.01, 634.61 and 149.02

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Solution

The fourth proportional to 423.01, 634.61 and 149.02 is: 223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.01 : 634.61 = 149.02 : x
  2. Step 2: Convert to fraction form
    423.01/634.61 = 149.02/x
  3. Step 3: Cross multiply
    423.01x = 634.61 × 149.02
  4. Step 4: Simplify right side
    423.01x = 94,565.66
  5. Step 5: Solve for x
    x = 94,565.66/423.01
  6. Step 6: Final answer
    x = 223.56

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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.