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Finding the Fourth Proportional to 291.62, 402.62 and 186.77

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Solution

The fourth proportional to 291.62, 402.62 and 186.77 is: 257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.62 : 402.62 = 186.77 : x
  2. Step 2: Convert to fraction form
    291.62/402.62 = 186.77/x
  3. Step 3: Cross multiply
    291.62x = 402.62 × 186.77
  4. Step 4: Simplify right side
    291.62x = 75,194.39
  5. Step 5: Solve for x
    x = 75,194.39/291.62
  6. Step 6: Final answer
    x = 257.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.