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Finding the Fourth Proportional to 265.66, 366.17 and 213.11

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Solution

The fourth proportional to 265.66, 366.17 and 213.11 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.66 : 366.17 = 213.11 : x
  2. Step 2: Convert to fraction form
    265.66/366.17 = 213.11/x
  3. Step 3: Cross multiply
    265.66x = 366.17 × 213.11
  4. Step 4: Simplify right side
    265.66x = 78,031.59
  5. Step 5: Solve for x
    x = 78,031.59/265.66
  6. Step 6: Final answer
    x = 293.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.