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Finding the Fourth Proportional to 216.65, 299.09 and 139.07

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Solution

The fourth proportional to 216.65, 299.09 and 139.07 is: 191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.65 : 299.09 = 139.07 : x
  2. Step 2: Convert to fraction form
    216.65/299.09 = 139.07/x
  3. Step 3: Cross multiply
    216.65x = 299.09 × 139.07
  4. Step 4: Simplify right side
    216.65x = 41,595.54
  5. Step 5: Solve for x
    x = 41,595.54/216.65
  6. Step 6: Final answer
    x = 191.99

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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.