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Finding the Fourth Proportional to 150.27, 206.14 and 140.95

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Solution

The fourth proportional to 150.27, 206.14 and 140.95 is: 193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 206.14 = 140.95 : x
  2. Step 2: Convert to fraction form
    150.27/206.14 = 140.95/x
  3. Step 3: Cross multiply
    150.27x = 206.14 × 140.95
  4. Step 4: Simplify right side
    150.27x = 29,055.43
  5. Step 5: Solve for x
    x = 29,055.43/150.27
  6. Step 6: Final answer
    x = 193.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.