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Finding the Fourth Proportional to 265.61, 366.87 and 204.18

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Solution

The fourth proportional to 265.61, 366.87 and 204.18 is: 282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.61 : 366.87 = 204.18 : x
  2. Step 2: Convert to fraction form
    265.61/366.87 = 204.18/x
  3. Step 3: Cross multiply
    265.61x = 366.87 × 204.18
  4. Step 4: Simplify right side
    265.61x = 74,907.52
  5. Step 5: Solve for x
    x = 74,907.52/265.61
  6. Step 6: Final answer
    x = 282.03

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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.