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Finding the Fourth Proportional to 252.58, 348.70 and 165.30

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Solution

The fourth proportional to 252.58, 348.70 and 165.30 is: 228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.58 : 348.70 = 165.30 : x
  2. Step 2: Convert to fraction form
    252.58/348.70 = 165.30/x
  3. Step 3: Cross multiply
    252.58x = 348.70 × 165.30
  4. Step 4: Simplify right side
    252.58x = 57,640.11
  5. Step 5: Solve for x
    x = 57,640.11/252.58
  6. Step 6: Final answer
    x = 228.21

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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.