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Finding the Fourth Proportional to 252.38, 348.40 and 165.20

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Solution

The fourth proportional to 252.38, 348.40 and 165.20 is: 228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.38 : 348.40 = 165.20 : x
  2. Step 2: Convert to fraction form
    252.38/348.40 = 165.20/x
  3. Step 3: Cross multiply
    252.38x = 348.40 × 165.20
  4. Step 4: Simplify right side
    252.38x = 57,555.68
  5. Step 5: Solve for x
    x = 57,555.68/252.38
  6. Step 6: Final answer
    x = 228.05

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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.