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Finding the Fourth Proportional to 252.06, 347.84 and 147.17

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Solution

The fourth proportional to 252.06, 347.84 and 147.17 is: 203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 347.84 = 147.17 : x
  2. Step 2: Convert to fraction form
    252.06/347.84 = 147.17/x
  3. Step 3: Cross multiply
    252.06x = 347.84 × 147.17
  4. Step 4: Simplify right side
    252.06x = 51,191.17
  5. Step 5: Solve for x
    x = 51,191.17/252.06
  6. Step 6: Final answer
    x = 203.09

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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.