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Finding the Fourth Proportional to 204.56, 307.02 and 113.34

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Solution

The fourth proportional to 204.56, 307.02 and 113.34 is: 170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 307.02 = 113.34 : x
  2. Step 2: Convert to fraction form
    204.56/307.02 = 113.34/x
  3. Step 3: Cross multiply
    204.56x = 307.02 × 113.34
  4. Step 4: Simplify right side
    204.56x = 34,797.65
  5. Step 5: Solve for x
    x = 34,797.65/204.56
  6. Step 6: Final answer
    x = 170.11

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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.