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Finding the Fourth Proportional to 291.31, 402.05 and 165.30

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Solution

The fourth proportional to 291.31, 402.05 and 165.30 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.31 : 402.05 = 165.30 : x
  2. Step 2: Convert to fraction form
    291.31/402.05 = 165.30/x
  3. Step 3: Cross multiply
    291.31x = 402.05 × 165.30
  4. Step 4: Simplify right side
    291.31x = 66,458.87
  5. Step 5: Solve for x
    x = 66,458.87/291.31
  6. Step 6: Final answer
    x = 228.14

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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.