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Finding the Fourth Proportional to 215.87, 298.49 and 202.10

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Solution

The fourth proportional to 215.87, 298.49 and 202.10 is: 279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.87 : 298.49 = 202.10 : x
  2. Step 2: Convert to fraction form
    215.87/298.49 = 202.10/x
  3. Step 3: Cross multiply
    215.87x = 298.49 × 202.10
  4. Step 4: Simplify right side
    215.87x = 60,322.33
  5. Step 5: Solve for x
    x = 60,322.33/215.87
  6. Step 6: Final answer
    x = 279.44

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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.