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Finding the Fourth Proportional to 303.29, 454.76 and 166.30

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Solution

The fourth proportional to 303.29, 454.76 and 166.30 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.29 : 454.76 = 166.30 : x
  2. Step 2: Convert to fraction form
    303.29/454.76 = 166.30/x
  3. Step 3: Cross multiply
    303.29x = 454.76 × 166.30
  4. Step 4: Simplify right side
    303.29x = 75,628.74
  5. Step 5: Solve for x
    x = 75,628.74/303.29
  6. Step 6: Final answer
    x = 249.36

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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.