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Finding the Fourth Proportional to 203.40, 279.84 and 159.64

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Solution

The fourth proportional to 203.40, 279.84 and 159.64 is: 219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 279.84 = 159.64 : x
  2. Step 2: Convert to fraction form
    203.40/279.84 = 159.64/x
  3. Step 3: Cross multiply
    203.40x = 279.84 × 159.64
  4. Step 4: Simplify right side
    203.40x = 44,673.66
  5. Step 5: Solve for x
    x = 44,673.66/203.40
  6. Step 6: Final answer
    x = 219.63

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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.