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Finding the Fourth Proportional to 149.40, 205.56 and 141.48

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Solution

The fourth proportional to 149.40, 205.56 and 141.48 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 205.56 = 141.48 : x
  2. Step 2: Convert to fraction form
    149.40/205.56 = 141.48/x
  3. Step 3: Cross multiply
    149.40x = 205.56 × 141.48
  4. Step 4: Simplify right side
    149.40x = 29,082.63
  5. Step 5: Solve for x
    x = 29,082.63/149.40
  6. Step 6: Final answer
    x = 194.66

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