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Finding the Fourth Proportional to 383.32, 574.63 and 166.82

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Solution

The fourth proportional to 383.32, 574.63 and 166.82 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.32 : 574.63 = 166.82 : x
  2. Step 2: Convert to fraction form
    383.32/574.63 = 166.82/x
  3. Step 3: Cross multiply
    383.32x = 574.63 × 166.82
  4. Step 4: Simplify right side
    383.32x = 95,859.78
  5. Step 5: Solve for x
    x = 95,859.78/383.32
  6. Step 6: Final answer
    x = 250.08

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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.