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Finding the Fourth Proportional to 213.79, 294.84 and 142.77

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Solution

The fourth proportional to 213.79, 294.84 and 142.77 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.79 : 294.84 = 142.77 : x
  2. Step 2: Convert to fraction form
    213.79/294.84 = 142.77/x
  3. Step 3: Cross multiply
    213.79x = 294.84 × 142.77
  4. Step 4: Simplify right side
    213.79x = 42,094.69
  5. Step 5: Solve for x
    x = 42,094.69/213.79
  6. Step 6: Final answer
    x = 196.90

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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.