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Finding the Fourth Proportional to 303.77, 455.31 and 166.74

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Solution

The fourth proportional to 303.77, 455.31 and 166.74 is: 249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.77 : 455.31 = 166.74 : x
  2. Step 2: Convert to fraction form
    303.77/455.31 = 166.74/x
  3. Step 3: Cross multiply
    303.77x = 455.31 × 166.74
  4. Step 4: Simplify right side
    303.77x = 75,918.39
  5. Step 5: Solve for x
    x = 75,918.39/303.77
  6. Step 6: Final answer
    x = 249.92

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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.