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Finding the Fourth Proportional to 202.85, 279.79 and 159.11

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Solution

The fourth proportional to 202.85, 279.79 and 159.11 is: 219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.85 : 279.79 = 159.11 : x
  2. Step 2: Convert to fraction form
    202.85/279.79 = 159.11/x
  3. Step 3: Cross multiply
    202.85x = 279.79 × 159.11
  4. Step 4: Simplify right side
    202.85x = 44,515.59
  5. Step 5: Solve for x
    x = 44,515.59/202.85
  6. Step 6: Final answer
    x = 219.46

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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.