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Finding the Fourth Proportional to 349.28, 524.14 and 132.84

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Solution

The fourth proportional to 349.28, 524.14 and 132.84 is: 199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.28 : 524.14 = 132.84 : x
  2. Step 2: Convert to fraction form
    349.28/524.14 = 132.84/x
  3. Step 3: Cross multiply
    349.28x = 524.14 × 132.84
  4. Step 4: Simplify right side
    349.28x = 69,626.76
  5. Step 5: Solve for x
    x = 69,626.76/349.28
  6. Step 6: Final answer
    x = 199.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.