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Finding the Fourth Proportional to 253.12, 349.24 and 159.80

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Solution

The fourth proportional to 253.12, 349.24 and 159.80 is: 220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.12 : 349.24 = 159.80 : x
  2. Step 2: Convert to fraction form
    253.12/349.24 = 159.80/x
  3. Step 3: Cross multiply
    253.12x = 349.24 × 159.80
  4. Step 4: Simplify right side
    253.12x = 55,808.55
  5. Step 5: Solve for x
    x = 55,808.55/253.12
  6. Step 6: Final answer
    x = 220.48

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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.