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Finding the Fourth Proportional to 252.48, 348.12 and 220.08

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Solution

The fourth proportional to 252.48, 348.12 and 220.08 is: 303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.48 : 348.12 = 220.08 : x
  2. Step 2: Convert to fraction form
    252.48/348.12 = 220.08/x
  3. Step 3: Cross multiply
    252.48x = 348.12 × 220.08
  4. Step 4: Simplify right side
    252.48x = 76,614.25
  5. Step 5: Solve for x
    x = 76,614.25/252.48
  6. Step 6: Final answer
    x = 303.45

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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.