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Finding the Fourth Proportional to 263.12, 362.84 and 159.60

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Solution

The fourth proportional to 263.12, 362.84 and 159.60 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 362.84 = 159.60 : x
  2. Step 2: Convert to fraction form
    263.12/362.84 = 159.60/x
  3. Step 3: Cross multiply
    263.12x = 362.84 × 159.60
  4. Step 4: Simplify right side
    263.12x = 57,909.26
  5. Step 5: Solve for x
    x = 57,909.26/263.12
  6. Step 6: Final answer
    x = 220.09

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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.