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Finding the Fourth Proportional to 265.86, 398.61 and 194.04

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Solution

The fourth proportional to 265.86, 398.61 and 194.04 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 398.61 = 194.04 : x
  2. Step 2: Convert to fraction form
    265.86/398.61 = 194.04/x
  3. Step 3: Cross multiply
    265.86x = 398.61 × 194.04
  4. Step 4: Simplify right side
    265.86x = 77,346.28
  5. Step 5: Solve for x
    x = 77,346.28/265.86
  6. Step 6: Final answer
    x = 290.93

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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.