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Finding the Fourth Proportional to 349.47, 524.36 and 166.86

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Solution

The fourth proportional to 349.47, 524.36 and 166.86 is: 250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.47 : 524.36 = 166.86 : x
  2. Step 2: Convert to fraction form
    349.47/524.36 = 166.86/x
  3. Step 3: Cross multiply
    349.47x = 524.36 × 166.86
  4. Step 4: Simplify right side
    349.47x = 87,494.71
  5. Step 5: Solve for x
    x = 87,494.71/349.47
  6. Step 6: Final answer
    x = 250.36

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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.