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Finding the Fourth Proportional to 265.66, 398.47 and 83.05

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Solution

The fourth proportional to 265.66, 398.47 and 83.05 is: 124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.66 : 398.47 = 83.05 : x
  2. Step 2: Convert to fraction form
    265.66/398.47 = 83.05/x
  3. Step 3: Cross multiply
    265.66x = 398.47 × 83.05
  4. Step 4: Simplify right side
    265.66x = 33,092.93
  5. Step 5: Solve for x
    x = 33,092.93/265.66
  6. Step 6: Final answer
    x = 124.57

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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.