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Finding the Fourth Proportional to 265.53, 366.50 and 209.48

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Solution

The fourth proportional to 265.53, 366.50 and 209.48 is: 289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.53 : 366.50 = 209.48 : x
  2. Step 2: Convert to fraction form
    265.53/366.50 = 209.48/x
  3. Step 3: Cross multiply
    265.53x = 366.50 × 209.48
  4. Step 4: Simplify right side
    265.53x = 76,773.37
  5. Step 5: Solve for x
    x = 76,773.37/265.53
  6. Step 6: Final answer
    x = 289.13

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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.