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Finding the Fourth Proportional to 265.48, 366.47 and 206.63

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Solution

The fourth proportional to 265.48, 366.47 and 206.63 is: 285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 366.47 = 206.63 : x
  2. Step 2: Convert to fraction form
    265.48/366.47 = 206.63/x
  3. Step 3: Cross multiply
    265.48x = 366.47 × 206.63
  4. Step 4: Simplify right side
    265.48x = 75,723.11
  5. Step 5: Solve for x
    x = 75,723.11/265.48
  6. Step 6: Final answer
    x = 285.23

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Why These Related Problems?

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