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Finding the Fourth Proportional to 149.48, 205.86 and 142.54

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Solution

The fourth proportional to 149.48, 205.86 and 142.54 is: 196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.48 : 205.86 = 142.54 : x
  2. Step 2: Convert to fraction form
    149.48/205.86 = 142.54/x
  3. Step 3: Cross multiply
    149.48x = 205.86 × 142.54
  4. Step 4: Simplify right side
    149.48x = 29,343.28
  5. Step 5: Solve for x
    x = 29,343.28/149.48
  6. Step 6: Final answer
    x = 196.30

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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.