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Finding the Fourth Proportional to 216.46, 322.79 and 192.16

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Solution

The fourth proportional to 216.46, 322.79 and 192.16 is: 286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 322.79 = 192.16 : x
  2. Step 2: Convert to fraction form
    216.46/322.79 = 192.16/x
  3. Step 3: Cross multiply
    216.46x = 322.79 × 192.16
  4. Step 4: Simplify right side
    216.46x = 62,027.33
  5. Step 5: Solve for x
    x = 62,027.33/216.46
  6. Step 6: Final answer
    x = 286.55

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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.