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Finding the Fourth Proportional to 252, 347.84 and 160

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Solution

The fourth proportional to 252, 347.84 and 160 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 347.84 = 160 : x
  2. Step 2: Convert to fraction form
    252/347.84 = 160/x
  3. Step 3: Cross multiply
    252x = 347.84 × 160
  4. Step 4: Simplify right side
    252x = 55,654.40
  5. Step 5: Solve for x
    x = 55,654.40/252
  6. Step 6: Final answer
    x = 220.85

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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.