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Finding the Fourth Proportional to 282.01, 389.12 and 157.66

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Solution

The fourth proportional to 282.01, 389.12 and 157.66 is: 217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.01 : 389.12 = 157.66 : x
  2. Step 2: Convert to fraction form
    282.01/389.12 = 157.66/x
  3. Step 3: Cross multiply
    282.01x = 389.12 × 157.66
  4. Step 4: Simplify right side
    282.01x = 61,348.66
  5. Step 5: Solve for x
    x = 61,348.66/282.01
  6. Step 6: Final answer
    x = 217.54

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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.