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Finding the Fourth Proportional to 270.45, 403.94 and 216.18

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Solution

The fourth proportional to 270.45, 403.94 and 216.18 is: 322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.45 : 403.94 = 216.18 : x
  2. Step 2: Convert to fraction form
    270.45/403.94 = 216.18/x
  3. Step 3: Cross multiply
    270.45x = 403.94 × 216.18
  4. Step 4: Simplify right side
    270.45x = 87,324.29
  5. Step 5: Solve for x
    x = 87,324.29/270.45
  6. Step 6: Final answer
    x = 322.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.