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Finding the Fourth Proportional to 205.04, 282.47 and 167.98

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Solution

The fourth proportional to 205.04, 282.47 and 167.98 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.04 : 282.47 = 167.98 : x
  2. Step 2: Convert to fraction form
    205.04/282.47 = 167.98/x
  3. Step 3: Cross multiply
    205.04x = 282.47 × 167.98
  4. Step 4: Simplify right side
    205.04x = 47,449.31
  5. Step 5: Solve for x
    x = 47,449.31/205.04
  6. Step 6: Final answer
    x = 231.41

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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.