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Finding the Fourth Proportional to 282.87, 390.24 and 184.59

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Solution

The fourth proportional to 282.87, 390.24 and 184.59 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.87 : 390.24 = 184.59 : x
  2. Step 2: Convert to fraction form
    282.87/390.24 = 184.59/x
  3. Step 3: Cross multiply
    282.87x = 390.24 × 184.59
  4. Step 4: Simplify right side
    282.87x = 72,034.40
  5. Step 5: Solve for x
    x = 72,034.40/282.87
  6. Step 6: Final answer
    x = 254.66

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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.