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Finding the Fourth Proportional to 282.30, 389.56 and 157.96

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Solution

The fourth proportional to 282.30, 389.56 and 157.96 is: 217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 389.56 = 157.96 : x
  2. Step 2: Convert to fraction form
    282.30/389.56 = 157.96/x
  3. Step 3: Cross multiply
    282.30x = 389.56 × 157.96
  4. Step 4: Simplify right side
    282.30x = 61,534.90
  5. Step 5: Solve for x
    x = 61,534.90/282.30
  6. Step 6: Final answer
    x = 217.98

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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.