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Finding the Fourth Proportional to 252.25, 348.07 and 147.31

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Solution

The fourth proportional to 252.25, 348.07 and 147.31 is: 203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.25 : 348.07 = 147.31 : x
  2. Step 2: Convert to fraction form
    252.25/348.07 = 147.31/x
  3. Step 3: Cross multiply
    252.25x = 348.07 × 147.31
  4. Step 4: Simplify right side
    252.25x = 51,271.71
  5. Step 5: Solve for x
    x = 51,271.71/252.25
  6. Step 6: Final answer
    x = 203.26

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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.