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Finding the Fourth Proportional to 282.89, 390.33 and 189.75

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Solution

The fourth proportional to 282.89, 390.33 and 189.75 is: 261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.89 : 390.33 = 189.75 : x
  2. Step 2: Convert to fraction form
    282.89/390.33 = 189.75/x
  3. Step 3: Cross multiply
    282.89x = 390.33 × 189.75
  4. Step 4: Simplify right side
    282.89x = 74,064.17
  5. Step 5: Solve for x
    x = 74,064.17/282.89
  6. Step 6: Final answer
    x = 261.81

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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.