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Finding the Fourth Proportional to 220.51, 332.44 and 217.77

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Solution

The fourth proportional to 220.51, 332.44 and 217.77 is: 328.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.51 : 332.44 = 217.77 : x
  2. Step 2: Convert to fraction form
    220.51/332.44 = 217.77/x
  3. Step 3: Cross multiply
    220.51x = 332.44 × 217.77
  4. Step 4: Simplify right side
    220.51x = 72,394.91
  5. Step 5: Solve for x
    x = 72,394.91/220.51
  6. Step 6: Final answer
    x = 328.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.