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Finding the Fourth Proportional to 216.79, 298.99 and 129.38

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Solution

The fourth proportional to 216.79, 298.99 and 129.38 is: 178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.79 : 298.99 = 129.38 : x
  2. Step 2: Convert to fraction form
    216.79/298.99 = 129.38/x
  3. Step 3: Cross multiply
    216.79x = 298.99 × 129.38
  4. Step 4: Simplify right side
    216.79x = 38,681.99
  5. Step 5: Solve for x
    x = 38,681.99/216.79
  6. Step 6: Final answer
    x = 178.43

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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.