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Finding the Fourth Proportional to 291.83, 402.31 and 221.63

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Solution

The fourth proportional to 291.83, 402.31 and 221.63 is: 305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.83 : 402.31 = 221.63 : x
  2. Step 2: Convert to fraction form
    291.83/402.31 = 221.63/x
  3. Step 3: Cross multiply
    291.83x = 402.31 × 221.63
  4. Step 4: Simplify right side
    291.83x = 89,164.42
  5. Step 5: Solve for x
    x = 89,164.42/291.83
  6. Step 6: Final answer
    x = 305.53

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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.