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Finding the Fourth Proportional to 265.53, 363.84 and 262.11

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Solution

The fourth proportional to 265.53, 363.84 and 262.11 is: 359.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.53 : 363.84 = 262.11 : x
  2. Step 2: Convert to fraction form
    265.53/363.84 = 262.11/x
  3. Step 3: Cross multiply
    265.53x = 363.84 × 262.11
  4. Step 4: Simplify right side
    265.53x = 95,366.10
  5. Step 5: Solve for x
    x = 95,366.10/265.53
  6. Step 6: Final answer
    x = 359.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.