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Finding the Fourth Proportional to 291.59, 402.16 and 221.66

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Solution

The fourth proportional to 291.59, 402.16 and 221.66 is: 305.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.59 : 402.16 = 221.66 : x
  2. Step 2: Convert to fraction form
    291.59/402.16 = 221.66/x
  3. Step 3: Cross multiply
    291.59x = 402.16 × 221.66
  4. Step 4: Simplify right side
    291.59x = 89,142.79
  5. Step 5: Solve for x
    x = 89,142.79/291.59
  6. Step 6: Final answer
    x = 305.71

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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.