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Finding the Fourth Proportional to 215.39, 297.02 and 159.40

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Solution

The fourth proportional to 215.39, 297.02 and 159.40 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 297.02 = 159.40 : x
  2. Step 2: Convert to fraction form
    215.39/297.02 = 159.40/x
  3. Step 3: Cross multiply
    215.39x = 297.02 × 159.40
  4. Step 4: Simplify right side
    215.39x = 47,344.86
  5. Step 5: Solve for x
    x = 47,344.86/215.39
  6. Step 6: Final answer
    x = 219.81

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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.