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Finding the Fourth Proportional to 457.17, 685.78 and 149.05

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Solution

The fourth proportional to 457.17, 685.78 and 149.05 is: 223.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.17 : 685.78 = 149.05 : x
  2. Step 2: Convert to fraction form
    457.17/685.78 = 149.05/x
  3. Step 3: Cross multiply
    457.17x = 685.78 × 149.05
  4. Step 4: Simplify right side
    457.17x = 102,215.99
  5. Step 5: Solve for x
    x = 102,215.99/457.17
  6. Step 6: Final answer
    x = 223.59

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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.