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Finding the Fourth Proportional to 349.92, 524.76 and 157.52

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Solution

The fourth proportional to 349.92, 524.76 and 157.52 is: 236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.92 : 524.76 = 157.52 : x
  2. Step 2: Convert to fraction form
    349.92/524.76 = 157.52/x
  3. Step 3: Cross multiply
    349.92x = 524.76 × 157.52
  4. Step 4: Simplify right side
    349.92x = 82,660.20
  5. Step 5: Solve for x
    x = 82,660.20/349.92
  6. Step 6: Final answer
    x = 236.23

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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.