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Finding the Fourth Proportional to 252.96, 348.96 and 175.36

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Solution

The fourth proportional to 252.96, 348.96 and 175.36 is: 241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 348.96 = 175.36 : x
  2. Step 2: Convert to fraction form
    252.96/348.96 = 175.36/x
  3. Step 3: Cross multiply
    252.96x = 348.96 × 175.36
  4. Step 4: Simplify right side
    252.96x = 61,193.63
  5. Step 5: Solve for x
    x = 61,193.63/252.96
  6. Step 6: Final answer
    x = 241.91

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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.