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Finding the Fourth Proportional to 252.45, 348.30 and 215.60

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Solution

The fourth proportional to 252.45, 348.30 and 215.60 is: 297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.45 : 348.30 = 215.60 : x
  2. Step 2: Convert to fraction form
    252.45/348.30 = 215.60/x
  3. Step 3: Cross multiply
    252.45x = 348.30 × 215.60
  4. Step 4: Simplify right side
    252.45x = 75,091.74
  5. Step 5: Solve for x
    x = 75,091.74/252.45
  6. Step 6: Final answer
    x = 297.45

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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.