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Finding the Fourth Proportional to 291.08, 401.68 and 174.62

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Solution

The fourth proportional to 291.08, 401.68 and 174.62 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.08 : 401.68 = 174.62 : x
  2. Step 2: Convert to fraction form
    291.08/401.68 = 174.62/x
  3. Step 3: Cross multiply
    291.08x = 401.68 × 174.62
  4. Step 4: Simplify right side
    291.08x = 70,141.36
  5. Step 5: Solve for x
    x = 70,141.36/291.08
  6. Step 6: Final answer
    x = 240.97

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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.