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Finding the Fourth Proportional to 291.84, 402.71 and 165.78

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Solution

The fourth proportional to 291.84, 402.71 and 165.78 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.84 : 402.71 = 165.78 : x
  2. Step 2: Convert to fraction form
    291.84/402.71 = 165.78/x
  3. Step 3: Cross multiply
    291.84x = 402.71 × 165.78
  4. Step 4: Simplify right side
    291.84x = 66,760.43
  5. Step 5: Solve for x
    x = 66,760.43/291.84
  6. Step 6: Final answer
    x = 228.76

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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.