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Finding the Fourth Proportional to 219.40, 303.06 and 214.12

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Solution

The fourth proportional to 219.40, 303.06 and 214.12 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 303.06 = 214.12 : x
  2. Step 2: Convert to fraction form
    219.40/303.06 = 214.12/x
  3. Step 3: Cross multiply
    219.40x = 303.06 × 214.12
  4. Step 4: Simplify right side
    219.40x = 64,891.21
  5. Step 5: Solve for x
    x = 64,891.21/219.40
  6. Step 6: Final answer
    x = 295.77

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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.