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Finding the Fourth Proportional to 349.34, 524.00 and 166.61

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Solution

The fourth proportional to 349.34, 524.00 and 166.61 is: 249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.34 : 524.00 = 166.61 : x
  2. Step 2: Convert to fraction form
    349.34/524.00 = 166.61/x
  3. Step 3: Cross multiply
    349.34x = 524.00 × 166.61
  4. Step 4: Simplify right side
    349.34x = 87,300.19
  5. Step 5: Solve for x
    x = 87,300.19/349.34
  6. Step 6: Final answer
    x = 249.90

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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.