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Finding the Fourth Proportional to 265.84, 398.84 and 83.26

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Solution

The fourth proportional to 265.84, 398.84 and 83.26 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.84 : 398.84 = 83.26 : x
  2. Step 2: Convert to fraction form
    265.84/398.84 = 83.26/x
  3. Step 3: Cross multiply
    265.84x = 398.84 × 83.26
  4. Step 4: Simplify right side
    265.84x = 33,207.42
  5. Step 5: Solve for x
    x = 33,207.42/265.84
  6. Step 6: Final answer
    x = 124.92

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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.