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Finding the Fourth Proportional to 219.30, 301.74 and 214.44

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Solution

The fourth proportional to 219.30, 301.74 and 214.44 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.30 : 301.74 = 214.44 : x
  2. Step 2: Convert to fraction form
    219.30/301.74 = 214.44/x
  3. Step 3: Cross multiply
    219.30x = 301.74 × 214.44
  4. Step 4: Simplify right side
    219.30x = 64,705.13
  5. Step 5: Solve for x
    x = 64,705.13/219.30
  6. Step 6: Final answer
    x = 295.05

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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.