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Finding the Fourth Proportional to 302.69, 454.31 and 166.02

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Solution

The fourth proportional to 302.69, 454.31 and 166.02 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.69 : 454.31 = 166.02 : x
  2. Step 2: Convert to fraction form
    302.69/454.31 = 166.02/x
  3. Step 3: Cross multiply
    302.69x = 454.31 × 166.02
  4. Step 4: Simplify right side
    302.69x = 75,422.64
  5. Step 5: Solve for x
    x = 75,422.64/302.69
  6. Step 6: Final answer
    x = 249.18

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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.