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Finding the Fourth Proportional to 282.87, 390.24 and 189.54

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Solution

The fourth proportional to 282.87, 390.24 and 189.54 is: 261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 390.24 = 189.54 : x
  2. Step 2: Convert to fraction form
    282.87/390.24 = 189.54/x
  3. Step 3: Cross multiply
    282.87x = 390.24 × 189.54
  4. Step 4: Simplify right side
    282.87x = 73,966.09
  5. Step 5: Solve for x
    x = 73,966.09/282.87
  6. Step 6: Final answer
    x = 261.48

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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.