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Finding the Fourth Proportional to 220.68, 330.21 and 186.12

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Solution

The fourth proportional to 220.68, 330.21 and 186.12 is: 278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.68 : 330.21 = 186.12 : x
  2. Step 2: Convert to fraction form
    220.68/330.21 = 186.12/x
  3. Step 3: Cross multiply
    220.68x = 330.21 × 186.12
  4. Step 4: Simplify right side
    220.68x = 61,458.69
  5. Step 5: Solve for x
    x = 61,458.69/220.68
  6. Step 6: Final answer
    x = 278.50

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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.