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Finding the Fourth Proportional to 296.21, 408.57 and 202.81

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Solution

The fourth proportional to 296.21, 408.57 and 202.81 is: 279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.21 : 408.57 = 202.81 : x
  2. Step 2: Convert to fraction form
    296.21/408.57 = 202.81/x
  3. Step 3: Cross multiply
    296.21x = 408.57 × 202.81
  4. Step 4: Simplify right side
    296.21x = 82,862.08
  5. Step 5: Solve for x
    x = 82,862.08/296.21
  6. Step 6: Final answer
    x = 279.74

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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.