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Finding the Fourth Proportional to 265.92, 398.80 and 208.21

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Solution

The fourth proportional to 265.92, 398.80 and 208.21 is: 312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 398.80 = 208.21 : x
  2. Step 2: Convert to fraction form
    265.92/398.80 = 208.21/x
  3. Step 3: Cross multiply
    265.92x = 398.80 × 208.21
  4. Step 4: Simplify right side
    265.92x = 83,034.15
  5. Step 5: Solve for x
    x = 83,034.15/265.92
  6. Step 6: Final answer
    x = 312.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.