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Finding the Fourth Proportional to 349.92, 524.92 and 106.40

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Solution

The fourth proportional to 349.92, 524.92 and 106.40 is: 159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.92 : 524.92 = 106.40 : x
  2. Step 2: Convert to fraction form
    349.92/524.92 = 106.40/x
  3. Step 3: Cross multiply
    349.92x = 524.92 × 106.40
  4. Step 4: Simplify right side
    349.92x = 55,851.49
  5. Step 5: Solve for x
    x = 55,851.49/349.92
  6. Step 6: Final answer
    x = 159.61

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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.