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Finding the Fourth Proportional to 220.86, 306.62 and 214.18

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Solution

The fourth proportional to 220.86, 306.62 and 214.18 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.86 : 306.62 = 214.18 : x
  2. Step 2: Convert to fraction form
    220.86/306.62 = 214.18/x
  3. Step 3: Cross multiply
    220.86x = 306.62 × 214.18
  4. Step 4: Simplify right side
    220.86x = 65,670.84
  5. Step 5: Solve for x
    x = 65,670.84/220.86
  6. Step 6: Final answer
    x = 297.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.