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Finding the Fourth Proportional to 282.58, 390.15 and 189.43

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Solution

The fourth proportional to 282.58, 390.15 and 189.43 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.58 : 390.15 = 189.43 : x
  2. Step 2: Convert to fraction form
    282.58/390.15 = 189.43/x
  3. Step 3: Cross multiply
    282.58x = 390.15 × 189.43
  4. Step 4: Simplify right side
    282.58x = 73,905.14
  5. Step 5: Solve for x
    x = 73,905.14/282.58
  6. Step 6: Final answer
    x = 261.54

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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.