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Finding the Fourth Proportional to 224.98, 335.63 and 214.66

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Solution

The fourth proportional to 224.98, 335.63 and 214.66 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.98 : 335.63 = 214.66 : x
  2. Step 2: Convert to fraction form
    224.98/335.63 = 214.66/x
  3. Step 3: Cross multiply
    224.98x = 335.63 × 214.66
  4. Step 4: Simplify right side
    224.98x = 72,046.34
  5. Step 5: Solve for x
    x = 72,046.34/224.98
  6. Step 6: Final answer
    x = 320.23

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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.