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Finding the Fourth Proportional to 216.76, 299.10 and 139.24

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Solution

The fourth proportional to 216.76, 299.10 and 139.24 is: 192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.76 : 299.10 = 139.24 : x
  2. Step 2: Convert to fraction form
    216.76/299.10 = 139.24/x
  3. Step 3: Cross multiply
    216.76x = 299.10 × 139.24
  4. Step 4: Simplify right side
    216.76x = 41,646.68
  5. Step 5: Solve for x
    x = 41,646.68/216.76
  6. Step 6: Final answer
    x = 192.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.