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Finding the Fourth Proportional to 291.14, 401.86 and 174.74

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Solution

The fourth proportional to 291.14, 401.86 and 174.74 is: 241.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.14 : 401.86 = 174.74 : x
  2. Step 2: Convert to fraction form
    291.14/401.86 = 174.74/x
  3. Step 3: Cross multiply
    291.14x = 401.86 × 174.74
  4. Step 4: Simplify right side
    291.14x = 70,221.02
  5. Step 5: Solve for x
    x = 70,221.02/291.14
  6. Step 6: Final answer
    x = 241.19

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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.