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Finding the Fourth Proportional to 252.59, 348.57 and 165.42

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Solution

The fourth proportional to 252.59, 348.57 and 165.42 is: 228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.59 : 348.57 = 165.42 : x
  2. Step 2: Convert to fraction form
    252.59/348.57 = 165.42/x
  3. Step 3: Cross multiply
    252.59x = 348.57 × 165.42
  4. Step 4: Simplify right side
    252.59x = 57,660.45
  5. Step 5: Solve for x
    x = 57,660.45/252.59
  6. Step 6: Final answer
    x = 228.28

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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.