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Finding the Fourth Proportional to 252.48, 348.37 and 152.85

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Solution

The fourth proportional to 252.48, 348.37 and 152.85 is: 210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.48 : 348.37 = 152.85 : x
  2. Step 2: Convert to fraction form
    252.48/348.37 = 152.85/x
  3. Step 3: Cross multiply
    252.48x = 348.37 × 152.85
  4. Step 4: Simplify right side
    252.48x = 53,248.35
  5. Step 5: Solve for x
    x = 53,248.35/252.48
  6. Step 6: Final answer
    x = 210.90

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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.