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Finding the Fourth Proportional to 457.10, 685.76 and 148.98

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Solution

The fourth proportional to 457.10, 685.76 and 148.98 is: 223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.10 : 685.76 = 148.98 : x
  2. Step 2: Convert to fraction form
    457.10/685.76 = 148.98/x
  3. Step 3: Cross multiply
    457.10x = 685.76 × 148.98
  4. Step 4: Simplify right side
    457.10x = 102,164.52
  5. Step 5: Solve for x
    x = 102,164.52/457.10
  6. Step 6: Final answer
    x = 223.51

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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.