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Finding the Fourth Proportional to 291.68, 402.71 and 202.12

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Solution

The fourth proportional to 291.68, 402.71 and 202.12 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.68 : 402.71 = 202.12 : x
  2. Step 2: Convert to fraction form
    291.68/402.71 = 202.12/x
  3. Step 3: Cross multiply
    291.68x = 402.71 × 202.12
  4. Step 4: Simplify right side
    291.68x = 81,393.48
  5. Step 5: Solve for x
    x = 81,393.48/291.68
  6. Step 6: Final answer
    x = 279.05

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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.