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Finding the Fourth Proportional to 265.42, 398.04 and 82.77

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Solution

The fourth proportional to 265.42, 398.04 and 82.77 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.42 : 398.04 = 82.77 : x
  2. Step 2: Convert to fraction form
    265.42/398.04 = 82.77/x
  3. Step 3: Cross multiply
    265.42x = 398.04 × 82.77
  4. Step 4: Simplify right side
    265.42x = 32,945.77
  5. Step 5: Solve for x
    x = 32,945.77/265.42
  6. Step 6: Final answer
    x = 124.13

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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.