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Finding the Fourth Proportional to 291.49, 402.14 and 167.10

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Solution

The fourth proportional to 291.49, 402.14 and 167.10 is: 230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.49 : 402.14 = 167.10 : x
  2. Step 2: Convert to fraction form
    291.49/402.14 = 167.10/x
  3. Step 3: Cross multiply
    291.49x = 402.14 × 167.10
  4. Step 4: Simplify right side
    291.49x = 67,197.18
  5. Step 5: Solve for x
    x = 67,197.18/291.49
  6. Step 6: Final answer
    x = 230.53

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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.