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Finding the Fourth Proportional to 149.78, 223.36 and 141.68

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Solution

The fourth proportional to 149.78, 223.36 and 141.68 is: 211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 223.36 = 141.68 : x
  2. Step 2: Convert to fraction form
    149.78/223.36 = 141.68/x
  3. Step 3: Cross multiply
    149.78x = 223.36 × 141.68
  4. Step 4: Simplify right side
    149.78x = 31,645.64
  5. Step 5: Solve for x
    x = 31,645.64/149.78
  6. Step 6: Final answer
    x = 211.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.