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Finding the Fourth Proportional to 204.98, 307.42 and 74.95

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Solution

The fourth proportional to 204.98, 307.42 and 74.95 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 307.42 = 74.95 : x
  2. Step 2: Convert to fraction form
    204.98/307.42 = 74.95/x
  3. Step 3: Cross multiply
    204.98x = 307.42 × 74.95
  4. Step 4: Simplify right side
    204.98x = 23,041.13
  5. Step 5: Solve for x
    x = 23,041.13/204.98
  6. Step 6: Final answer
    x = 112.41

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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.