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Finding the Fourth Proportional to 216.16, 322.69 and 199

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Solution

The fourth proportional to 216.16, 322.69 and 199 is: 297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.16 : 322.69 = 199 : x
  2. Step 2: Convert to fraction form
    216.16/322.69 = 199/x
  3. Step 3: Cross multiply
    216.16x = 322.69 × 199
  4. Step 4: Simplify right side
    216.16x = 64,215.31
  5. Step 5: Solve for x
    x = 64,215.31/216.16
  6. Step 6: Final answer
    x = 297.07

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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.