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Finding the Fourth Proportional to 204.40, 307.78 and 150.40

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Solution

The fourth proportional to 204.40, 307.78 and 150.40 is: 226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 307.78 = 150.40 : x
  2. Step 2: Convert to fraction form
    204.40/307.78 = 150.40/x
  3. Step 3: Cross multiply
    204.40x = 307.78 × 150.40
  4. Step 4: Simplify right side
    204.40x = 46,290.11
  5. Step 5: Solve for x
    x = 46,290.11/204.40
  6. Step 6: Final answer
    x = 226.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.