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Finding the Fourth Proportional to 215.20, 321.23 and 186.51

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Solution

The fourth proportional to 215.20, 321.23 and 186.51 is: 278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.20 : 321.23 = 186.51 : x
  2. Step 2: Convert to fraction form
    215.20/321.23 = 186.51/x
  3. Step 3: Cross multiply
    215.20x = 321.23 × 186.51
  4. Step 4: Simplify right side
    215.20x = 59,911.67
  5. Step 5: Solve for x
    x = 59,911.67/215.20
  6. Step 6: Final answer
    x = 278.41

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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.