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Finding the Fourth Proportional to 204.98, 307.76 and 107.56

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Solution

The fourth proportional to 204.98, 307.76 and 107.56 is: 161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 307.76 = 107.56 : x
  2. Step 2: Convert to fraction form
    204.98/307.76 = 107.56/x
  3. Step 3: Cross multiply
    204.98x = 307.76 × 107.56
  4. Step 4: Simplify right side
    204.98x = 33,102.67
  5. Step 5: Solve for x
    x = 33,102.67/204.98
  6. Step 6: Final answer
    x = 161.49

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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.