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Finding the Fourth Proportional to 291.91, 437.79 and 168.25

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Solution

The fourth proportional to 291.91, 437.79 and 168.25 is: 252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.91 : 437.79 = 168.25 : x
  2. Step 2: Convert to fraction form
    291.91/437.79 = 168.25/x
  3. Step 3: Cross multiply
    291.91x = 437.79 × 168.25
  4. Step 4: Simplify right side
    291.91x = 73,656.75
  5. Step 5: Solve for x
    x = 73,656.75/291.91
  6. Step 6: Final answer
    x = 252.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.