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Finding the Fourth Proportional to 457.09, 685.67 and 148.86

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Solution

The fourth proportional to 457.09, 685.67 and 148.86 is: 223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.09 : 685.67 = 148.86 : x
  2. Step 2: Convert to fraction form
    457.09/685.67 = 148.86/x
  3. Step 3: Cross multiply
    457.09x = 685.67 × 148.86
  4. Step 4: Simplify right side
    457.09x = 102,068.09
  5. Step 5: Solve for x
    x = 102,068.09/457.09
  6. Step 6: Final answer
    x = 223.30

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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.