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Finding the Fourth Proportional to 252.30, 348.21 and 147.42

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Solution

The fourth proportional to 252.30, 348.21 and 147.42 is: 203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.30 : 348.21 = 147.42 : x
  2. Step 2: Convert to fraction form
    252.30/348.21 = 147.42/x
  3. Step 3: Cross multiply
    252.30x = 348.21 × 147.42
  4. Step 4: Simplify right side
    252.30x = 51,333.12
  5. Step 5: Solve for x
    x = 51,333.12/252.30
  6. Step 6: Final answer
    x = 203.46

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