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Finding the Fourth Proportional to 303.14, 454.62 and 166.16

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Solution

The fourth proportional to 303.14, 454.62 and 166.16 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 454.62 = 166.16 : x
  2. Step 2: Convert to fraction form
    303.14/454.62 = 166.16/x
  3. Step 3: Cross multiply
    303.14x = 454.62 × 166.16
  4. Step 4: Simplify right side
    303.14x = 75,539.66
  5. Step 5: Solve for x
    x = 75,539.66/303.14
  6. Step 6: Final answer
    x = 249.19

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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.