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Finding the Fourth Proportional to 265.69, 398.54 and 73.31

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Solution

The fourth proportional to 265.69, 398.54 and 73.31 is: 109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.69 : 398.54 = 73.31 : x
  2. Step 2: Convert to fraction form
    265.69/398.54 = 73.31/x
  3. Step 3: Cross multiply
    265.69x = 398.54 × 73.31
  4. Step 4: Simplify right side
    265.69x = 29,217.60
  5. Step 5: Solve for x
    x = 29,217.60/265.69
  6. Step 6: Final answer
    x = 109.97

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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.