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Finding the Fourth Proportional to 291.98, 402.94 and 161

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Solution

The fourth proportional to 291.98, 402.94 and 161 is: 222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.98 : 402.94 = 161 : x
  2. Step 2: Convert to fraction form
    291.98/402.94 = 161/x
  3. Step 3: Cross multiply
    291.98x = 402.94 × 161
  4. Step 4: Simplify right side
    291.98x = 64,873.34
  5. Step 5: Solve for x
    x = 64,873.34/291.98
  6. Step 6: Final answer
    x = 222.18

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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.