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Finding the Fourth Proportional to 265.84, 365.96 and 200.24

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Solution

The fourth proportional to 265.84, 365.96 and 200.24 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.84 : 365.96 = 200.24 : x
  2. Step 2: Convert to fraction form
    265.84/365.96 = 200.24/x
  3. Step 3: Cross multiply
    265.84x = 365.96 × 200.24
  4. Step 4: Simplify right side
    265.84x = 73,279.83
  5. Step 5: Solve for x
    x = 73,279.83/265.84
  6. Step 6: Final answer
    x = 275.65

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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.