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Finding the Fourth Proportional to 291.93, 402.77 and 167.50

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Solution

The fourth proportional to 291.93, 402.77 and 167.50 is: 231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.93 : 402.77 = 167.50 : x
  2. Step 2: Convert to fraction form
    291.93/402.77 = 167.50/x
  3. Step 3: Cross multiply
    291.93x = 402.77 × 167.50
  4. Step 4: Simplify right side
    291.93x = 67,463.98
  5. Step 5: Solve for x
    x = 67,463.98/291.93
  6. Step 6: Final answer
    x = 231.10

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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.