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Finding the Fourth Proportional to 216.76, 298.50 and 192.04

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Solution

The fourth proportional to 216.76, 298.50 and 192.04 is: 264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.76 : 298.50 = 192.04 : x
  2. Step 2: Convert to fraction form
    216.76/298.50 = 192.04/x
  3. Step 3: Cross multiply
    216.76x = 298.50 × 192.04
  4. Step 4: Simplify right side
    216.76x = 57,323.94
  5. Step 5: Solve for x
    x = 57,323.94/216.76
  6. Step 6: Final answer
    x = 264.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.