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Finding the Fourth Proportional to 216.66, 299.08 and 133.74

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Solution

The fourth proportional to 216.66, 299.08 and 133.74 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.66 : 299.08 = 133.74 : x
  2. Step 2: Convert to fraction form
    216.66/299.08 = 133.74/x
  3. Step 3: Cross multiply
    216.66x = 299.08 × 133.74
  4. Step 4: Simplify right side
    216.66x = 39,998.96
  5. Step 5: Solve for x
    x = 39,998.96/216.66
  6. Step 6: Final answer
    x = 184.62

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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.