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Finding the Fourth Proportional to 282.36, 387.33 and 265.80

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Solution

The fourth proportional to 282.36, 387.33 and 265.80 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.36 : 387.33 = 265.80 : x
  2. Step 2: Convert to fraction form
    282.36/387.33 = 265.80/x
  3. Step 3: Cross multiply
    282.36x = 387.33 × 265.80
  4. Step 4: Simplify right side
    282.36x = 102,952.31
  5. Step 5: Solve for x
    x = 102,952.31/282.36
  6. Step 6: Final answer
    x = 364.61

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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.