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Finding the Fourth Proportional to 297.14, 409.98 and 202.64

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Solution

The fourth proportional to 297.14, 409.98 and 202.64 is: 279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.14 : 409.98 = 202.64 : x
  2. Step 2: Convert to fraction form
    297.14/409.98 = 202.64/x
  3. Step 3: Cross multiply
    297.14x = 409.98 × 202.64
  4. Step 4: Simplify right side
    297.14x = 83,078.35
  5. Step 5: Solve for x
    x = 83,078.35/297.14
  6. Step 6: Final answer
    x = 279.59

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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.