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Finding the Fourth Proportional to 291.74, 402.62 and 186.84

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Solution

The fourth proportional to 291.74, 402.62 and 186.84 is: 257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.74 : 402.62 = 186.84 : x
  2. Step 2: Convert to fraction form
    291.74/402.62 = 186.84/x
  3. Step 3: Cross multiply
    291.74x = 402.62 × 186.84
  4. Step 4: Simplify right side
    291.74x = 75,224.59
  5. Step 5: Solve for x
    x = 75,224.59/291.74
  6. Step 6: Final answer
    x = 257.85

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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.