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Finding the Fourth Proportional to 219.22, 326.93 and 186.92

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Solution

The fourth proportional to 219.22, 326.93 and 186.92 is: 278.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.22 : 326.93 = 186.92 : x
  2. Step 2: Convert to fraction form
    219.22/326.93 = 186.92/x
  3. Step 3: Cross multiply
    219.22x = 326.93 × 186.92
  4. Step 4: Simplify right side
    219.22x = 61,109.76
  5. Step 5: Solve for x
    x = 61,109.76/219.22
  6. Step 6: Final answer
    x = 278.76

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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.