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Finding the Fourth Proportional to 457.19, 686.12 and 183.36

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Solution

The fourth proportional to 457.19, 686.12 and 183.36 is: 275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 686.12 = 183.36 : x
  2. Step 2: Convert to fraction form
    457.19/686.12 = 183.36/x
  3. Step 3: Cross multiply
    457.19x = 686.12 × 183.36
  4. Step 4: Simplify right side
    457.19x = 125,806.05
  5. Step 5: Solve for x
    x = 125,806.05/457.19
  6. Step 6: Final answer
    x = 275.18

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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.