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Finding the Fourth Proportional to 265.03, 397.61 and 82.43

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Solution

The fourth proportional to 265.03, 397.61 and 82.43 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.03 : 397.61 = 82.43 : x
  2. Step 2: Convert to fraction form
    265.03/397.61 = 82.43/x
  3. Step 3: Cross multiply
    265.03x = 397.61 × 82.43
  4. Step 4: Simplify right side
    265.03x = 32,774.95
  5. Step 5: Solve for x
    x = 32,774.95/265.03
  6. Step 6: Final answer
    x = 123.66

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Why These Related Problems?

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