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Finding the Fourth Proportional to 252.25, 348.05 and 147.34

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Solution

The fourth proportional to 252.25, 348.05 and 147.34 is: 203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.25 : 348.05 = 147.34 : x
  2. Step 2: Convert to fraction form
    252.25/348.05 = 147.34/x
  3. Step 3: Cross multiply
    252.25x = 348.05 × 147.34
  4. Step 4: Simplify right side
    252.25x = 51,281.69
  5. Step 5: Solve for x
    x = 51,281.69/252.25
  6. Step 6: Final answer
    x = 203.30

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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.