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Finding the Fourth Proportional to 291.46, 402.21 and 160.48

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Solution

The fourth proportional to 291.46, 402.21 and 160.48 is: 221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.46 : 402.21 = 160.48 : x
  2. Step 2: Convert to fraction form
    291.46/402.21 = 160.48/x
  3. Step 3: Cross multiply
    291.46x = 402.21 × 160.48
  4. Step 4: Simplify right side
    291.46x = 64,546.66
  5. Step 5: Solve for x
    x = 64,546.66/291.46
  6. Step 6: Final answer
    x = 221.46

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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.