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Finding the Fourth Proportional to 204.02, 281.93 and 167.11

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Solution

The fourth proportional to 204.02, 281.93 and 167.11 is: 230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 281.93 = 167.11 : x
  2. Step 2: Convert to fraction form
    204.02/281.93 = 167.11/x
  3. Step 3: Cross multiply
    204.02x = 281.93 × 167.11
  4. Step 4: Simplify right side
    204.02x = 47,113.32
  5. Step 5: Solve for x
    x = 47,113.32/204.02
  6. Step 6: Final answer
    x = 230.93

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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.