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Finding the Fourth Proportional to 216.69, 298.95 and 133.77

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Solution

The fourth proportional to 216.69, 298.95 and 133.77 is: 184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.69 : 298.95 = 133.77 : x
  2. Step 2: Convert to fraction form
    216.69/298.95 = 133.77/x
  3. Step 3: Cross multiply
    216.69x = 298.95 × 133.77
  4. Step 4: Simplify right side
    216.69x = 39,990.54
  5. Step 5: Solve for x
    x = 39,990.54/216.69
  6. Step 6: Final answer
    x = 184.55

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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.