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Finding the Fourth Proportional to 215.94, 297.39 and 202.04

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Solution

The fourth proportional to 215.94, 297.39 and 202.04 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 297.39 = 202.04 : x
  2. Step 2: Convert to fraction form
    215.94/297.39 = 202.04/x
  3. Step 3: Cross multiply
    215.94x = 297.39 × 202.04
  4. Step 4: Simplify right side
    215.94x = 60,084.86
  5. Step 5: Solve for x
    x = 60,084.86/215.94
  6. Step 6: Final answer
    x = 278.25

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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.