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Finding the Fourth Proportional to 291.68, 402.36 and 186.74

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Solution

The fourth proportional to 291.68, 402.36 and 186.74 is: 257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.68 : 402.36 = 186.74 : x
  2. Step 2: Convert to fraction form
    291.68/402.36 = 186.74/x
  3. Step 3: Cross multiply
    291.68x = 402.36 × 186.74
  4. Step 4: Simplify right side
    291.68x = 75,134.69
  5. Step 5: Solve for x
    x = 75,134.69/291.68
  6. Step 6: Final answer
    x = 257.60

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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.