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Finding the Fourth Proportional to 145.37, 199.15 and 140.11

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Solution

The fourth proportional to 145.37, 199.15 and 140.11 is: 191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.37 : 199.15 = 140.11 : x
  2. Step 2: Convert to fraction form
    145.37/199.15 = 140.11/x
  3. Step 3: Cross multiply
    145.37x = 199.15 × 140.11
  4. Step 4: Simplify right side
    145.37x = 27,902.21
  5. Step 5: Solve for x
    x = 27,902.21/145.37
  6. Step 6: Final answer
    x = 191.94

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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.