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Finding the Fourth Proportional to 349.52, 482.32 and 194.24

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Solution

The fourth proportional to 349.52, 482.32 and 194.24 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.52 : 482.32 = 194.24 : x
  2. Step 2: Convert to fraction form
    349.52/482.32 = 194.24/x
  3. Step 3: Cross multiply
    349.52x = 482.32 × 194.24
  4. Step 4: Simplify right side
    349.52x = 93,685.84
  5. Step 5: Solve for x
    x = 93,685.84/349.52
  6. Step 6: Final answer
    x = 268.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.