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Finding the Fourth Proportional to 252.47, 348.44 and 165.39

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Solution

The fourth proportional to 252.47, 348.44 and 165.39 is: 228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.47 : 348.44 = 165.39 : x
  2. Step 2: Convert to fraction form
    252.47/348.44 = 165.39/x
  3. Step 3: Cross multiply
    252.47x = 348.44 × 165.39
  4. Step 4: Simplify right side
    252.47x = 57,627.66
  5. Step 5: Solve for x
    x = 57,627.66/252.47
  6. Step 6: Final answer
    x = 228.26

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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.