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Finding the Fourth Proportional to 457.19, 685.69 and 148.96

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Solution

The fourth proportional to 457.19, 685.69 and 148.96 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 685.69 = 148.96 : x
  2. Step 2: Convert to fraction form
    457.19/685.69 = 148.96/x
  3. Step 3: Cross multiply
    457.19x = 685.69 × 148.96
  4. Step 4: Simplify right side
    457.19x = 102,143.21
  5. Step 5: Solve for x
    x = 102,143.21/457.19
  6. Step 6: Final answer
    x = 223.41

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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.