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Finding the Fourth Proportional to 291.35, 402.05 and 167.00

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Solution

The fourth proportional to 291.35, 402.05 and 167.00 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.35 : 402.05 = 167.00 : x
  2. Step 2: Convert to fraction form
    291.35/402.05 = 167.00/x
  3. Step 3: Cross multiply
    291.35x = 402.05 × 167.00
  4. Step 4: Simplify right side
    291.35x = 67,140.93
  5. Step 5: Solve for x
    x = 67,140.93/291.35
  6. Step 6: Final answer
    x = 230.45

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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.