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Finding the Fourth Proportional to 252.70, 348.62 and 159.46

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Solution

The fourth proportional to 252.70, 348.62 and 159.46 is: 219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 348.62 = 159.46 : x
  2. Step 2: Convert to fraction form
    252.70/348.62 = 159.46/x
  3. Step 3: Cross multiply
    252.70x = 348.62 × 159.46
  4. Step 4: Simplify right side
    252.70x = 55,590.95
  5. Step 5: Solve for x
    x = 55,590.95/252.70
  6. Step 6: Final answer
    x = 219.99

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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.