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Finding the Fourth Proportional to 349.45, 524.14 and 105.97

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Solution

The fourth proportional to 349.45, 524.14 and 105.97 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.45 : 524.14 = 105.97 : x
  2. Step 2: Convert to fraction form
    349.45/524.14 = 105.97/x
  3. Step 3: Cross multiply
    349.45x = 524.14 × 105.97
  4. Step 4: Simplify right side
    349.45x = 55,543.48
  5. Step 5: Solve for x
    x = 55,543.48/349.45
  6. Step 6: Final answer
    x = 158.95

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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.