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Finding the Fourth Proportional to 219.11, 303.75 and 214.65

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Solution

The fourth proportional to 219.11, 303.75 and 214.65 is: 297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.11 : 303.75 = 214.65 : x
  2. Step 2: Convert to fraction form
    219.11/303.75 = 214.65/x
  3. Step 3: Cross multiply
    219.11x = 303.75 × 214.65
  4. Step 4: Simplify right side
    219.11x = 65,199.94
  5. Step 5: Solve for x
    x = 65,199.94/219.11
  6. Step 6: Final answer
    x = 297.57

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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.