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Finding the Fourth Proportional to 216.08, 298.04 and 133.16

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Solution

The fourth proportional to 216.08, 298.04 and 133.16 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 298.04 = 133.16 : x
  2. Step 2: Convert to fraction form
    216.08/298.04 = 133.16/x
  3. Step 3: Cross multiply
    216.08x = 298.04 × 133.16
  4. Step 4: Simplify right side
    216.08x = 39,684.85
  5. Step 5: Solve for x
    x = 39,684.85/216.08
  6. Step 6: Final answer
    x = 183.66

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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.