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Finding the Fourth Proportional to 265.42, 366.62 and 204.00

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Solution

The fourth proportional to 265.42, 366.62 and 204.00 is: 281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.42 : 366.62 = 204.00 : x
  2. Step 2: Convert to fraction form
    265.42/366.62 = 204.00/x
  3. Step 3: Cross multiply
    265.42x = 366.62 × 204.00
  4. Step 4: Simplify right side
    265.42x = 74,791.91
  5. Step 5: Solve for x
    x = 74,791.91/265.42
  6. Step 6: Final answer
    x = 281.79

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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.