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Finding the Fourth Proportional to 216.50, 298.46 and 133.57

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Solution

The fourth proportional to 216.50, 298.46 and 133.57 is: 184.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 298.46 = 133.57 : x
  2. Step 2: Convert to fraction form
    216.50/298.46 = 133.57/x
  3. Step 3: Cross multiply
    216.50x = 298.46 × 133.57
  4. Step 4: Simplify right side
    216.50x = 39,864.89
  5. Step 5: Solve for x
    x = 39,864.89/216.50
  6. Step 6: Final answer
    x = 184.13

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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.