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Finding the Fourth Proportional to 216.57, 298.85 and 133.70

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Solution

The fourth proportional to 216.57, 298.85 and 133.70 is: 184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.57 : 298.85 = 133.70 : x
  2. Step 2: Convert to fraction form
    216.57/298.85 = 133.70/x
  3. Step 3: Cross multiply
    216.57x = 298.85 × 133.70
  4. Step 4: Simplify right side
    216.57x = 39,954.08
  5. Step 5: Solve for x
    x = 39,954.08/216.57
  6. Step 6: Final answer
    x = 184.49

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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.