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Finding the Fourth Proportional to 204.71, 307.01 and 112.11

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Solution

The fourth proportional to 204.71, 307.01 and 112.11 is: 168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.71 : 307.01 = 112.11 : x
  2. Step 2: Convert to fraction form
    204.71/307.01 = 112.11/x
  3. Step 3: Cross multiply
    204.71x = 307.01 × 112.11
  4. Step 4: Simplify right side
    204.71x = 34,418.89
  5. Step 5: Solve for x
    x = 34,418.89/204.71
  6. Step 6: Final answer
    x = 168.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.