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Finding the Fourth Proportional to 252.47, 348.50 and 174.95

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Solution

The fourth proportional to 252.47, 348.50 and 174.95 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.47 : 348.50 = 174.95 : x
  2. Step 2: Convert to fraction form
    252.47/348.50 = 174.95/x
  3. Step 3: Cross multiply
    252.47x = 348.50 × 174.95
  4. Step 4: Simplify right side
    252.47x = 60,970.08
  5. Step 5: Solve for x
    x = 60,970.08/252.47
  6. Step 6: Final answer
    x = 241.49

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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.