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Finding the Fourth Proportional to 220.52, 303.95 and 213.98

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Solution

The fourth proportional to 220.52, 303.95 and 213.98 is: 294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.52 : 303.95 = 213.98 : x
  2. Step 2: Convert to fraction form
    220.52/303.95 = 213.98/x
  3. Step 3: Cross multiply
    220.52x = 303.95 × 213.98
  4. Step 4: Simplify right side
    220.52x = 65,036.63
  5. Step 5: Solve for x
    x = 65,036.63/220.52
  6. Step 6: Final answer
    x = 294.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.