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Finding the Fourth Proportional to 149.79, 223.11 and 142.77

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Solution

The fourth proportional to 149.79, 223.11 and 142.77 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.79 : 223.11 = 142.77 : x
  2. Step 2: Convert to fraction form
    149.79/223.11 = 142.77/x
  3. Step 3: Cross multiply
    149.79x = 223.11 × 142.77
  4. Step 4: Simplify right side
    149.79x = 31,853.41
  5. Step 5: Solve for x
    x = 31,853.41/149.79
  6. Step 6: Final answer
    x = 212.65

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Why These Related Problems?

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