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Finding the Fourth Proportional to 282.31, 423.66 and 184.80

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Solution

The fourth proportional to 282.31, 423.66 and 184.80 is: 277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.31 : 423.66 = 184.80 : x
  2. Step 2: Convert to fraction form
    282.31/423.66 = 184.80/x
  3. Step 3: Cross multiply
    282.31x = 423.66 × 184.80
  4. Step 4: Simplify right side
    282.31x = 78,294.65
  5. Step 5: Solve for x
    x = 78,294.65/282.31
  6. Step 6: Final answer
    x = 277.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.