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Finding the Fourth Proportional to 282.37, 387.44 and 266.89

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Solution

The fourth proportional to 282.37, 387.44 and 266.89 is: 366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.37 : 387.44 = 266.89 : x
  2. Step 2: Convert to fraction form
    282.37/387.44 = 266.89/x
  3. Step 3: Cross multiply
    282.37x = 387.44 × 266.89
  4. Step 4: Simplify right side
    282.37x = 103,403.86
  5. Step 5: Solve for x
    x = 103,403.86/282.37
  6. Step 6: Final answer
    x = 366.20

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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.