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Finding the Fourth Proportional to 215.67, 322.66 and 214.11

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Solution

The fourth proportional to 215.67, 322.66 and 214.11 is: 320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.67 : 322.66 = 214.11 : x
  2. Step 2: Convert to fraction form
    215.67/322.66 = 214.11/x
  3. Step 3: Cross multiply
    215.67x = 322.66 × 214.11
  4. Step 4: Simplify right side
    215.67x = 69,084.73
  5. Step 5: Solve for x
    x = 69,084.73/215.67
  6. Step 6: Final answer
    x = 320.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.