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Finding the Fourth Proportional to 291.31, 402.00 and 160.31

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Solution

The fourth proportional to 291.31, 402.00 and 160.31 is: 221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.31 : 402.00 = 160.31 : x
  2. Step 2: Convert to fraction form
    291.31/402.00 = 160.31/x
  3. Step 3: Cross multiply
    291.31x = 402.00 × 160.31
  4. Step 4: Simplify right side
    291.31x = 64,445.93
  5. Step 5: Solve for x
    x = 64,445.93/291.31
  6. Step 6: Final answer
    x = 221.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.