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Finding the Fourth Proportional to 291.19, 401.82 and 174.73

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Solution

The fourth proportional to 291.19, 401.82 and 174.73 is: 241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.19 : 401.82 = 174.73 : x
  2. Step 2: Convert to fraction form
    291.19/401.82 = 174.73/x
  3. Step 3: Cross multiply
    291.19x = 401.82 × 174.73
  4. Step 4: Simplify right side
    291.19x = 70,210.01
  5. Step 5: Solve for x
    x = 70,210.01/291.19
  6. Step 6: Final answer
    x = 241.11

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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.