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Finding the Fourth Proportional to 149.49, 205.56 and 144.93

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Solution

The fourth proportional to 149.49, 205.56 and 144.93 is: 199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.49 : 205.56 = 144.93 : x
  2. Step 2: Convert to fraction form
    149.49/205.56 = 144.93/x
  3. Step 3: Cross multiply
    149.49x = 205.56 × 144.93
  4. Step 4: Simplify right side
    149.49x = 29,791.81
  5. Step 5: Solve for x
    x = 29,791.81/149.49
  6. Step 6: Final answer
    x = 199.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.