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Finding the Fourth Proportional to 149.22, 205.42 and 141.52

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Solution

The fourth proportional to 149.22, 205.42 and 141.52 is: 194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.22 : 205.42 = 141.52 : x
  2. Step 2: Convert to fraction form
    149.22/205.42 = 141.52/x
  3. Step 3: Cross multiply
    149.22x = 205.42 × 141.52
  4. Step 4: Simplify right side
    149.22x = 29,071.04
  5. Step 5: Solve for x
    x = 29,071.04/149.22
  6. Step 6: Final answer
    x = 194.82

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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.