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Finding the Fourth Proportional to 457.90, 686.44 and 183.81

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Solution

The fourth proportional to 457.90, 686.44 and 183.81 is: 275.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.90 : 686.44 = 183.81 : x
  2. Step 2: Convert to fraction form
    457.90/686.44 = 183.81/x
  3. Step 3: Cross multiply
    457.90x = 686.44 × 183.81
  4. Step 4: Simplify right side
    457.90x = 126,171.74
  5. Step 5: Solve for x
    x = 126,171.74/457.90
  6. Step 6: Final answer
    x = 275.54

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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.