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Finding the Fourth Proportional to 265.55, 398.36 and 82.96

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Solution

The fourth proportional to 265.55, 398.36 and 82.96 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.55 : 398.36 = 82.96 : x
  2. Step 2: Convert to fraction form
    265.55/398.36 = 82.96/x
  3. Step 3: Cross multiply
    265.55x = 398.36 × 82.96
  4. Step 4: Simplify right side
    265.55x = 33,047.16
  5. Step 5: Solve for x
    x = 33,047.16/265.55
  6. Step 6: Final answer
    x = 124.45

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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.