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Finding the Fourth Proportional to 150.02, 205.81 and 140.70

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Solution

The fourth proportional to 150.02, 205.81 and 140.70 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.02 : 205.81 = 140.70 : x
  2. Step 2: Convert to fraction form
    150.02/205.81 = 140.70/x
  3. Step 3: Cross multiply
    150.02x = 205.81 × 140.70
  4. Step 4: Simplify right side
    150.02x = 28,957.47
  5. Step 5: Solve for x
    x = 28,957.47/150.02
  6. Step 6: Final answer
    x = 193.02

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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.