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Finding the Fourth Proportional to 265.35, 397.65 and 167.61

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Solution

The fourth proportional to 265.35, 397.65 and 167.61 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.35 : 397.65 = 167.61 : x
  2. Step 2: Convert to fraction form
    265.35/397.65 = 167.61/x
  3. Step 3: Cross multiply
    265.35x = 397.65 × 167.61
  4. Step 4: Simplify right side
    265.35x = 66,650.12
  5. Step 5: Solve for x
    x = 66,650.12/265.35
  6. Step 6: Final answer
    x = 251.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.