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Finding the Fourth Proportional to 215.00, 322.26 and 137.78

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Solution

The fourth proportional to 215.00, 322.26 and 137.78 is: 206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.00 : 322.26 = 137.78 : x
  2. Step 2: Convert to fraction form
    215.00/322.26 = 137.78/x
  3. Step 3: Cross multiply
    215.00x = 322.26 × 137.78
  4. Step 4: Simplify right side
    215.00x = 44,400.06
  5. Step 5: Solve for x
    x = 44,400.06/215.00
  6. Step 6: Final answer
    x = 206.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.