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Finding the Fourth Proportional to 217.17, 299.70 and 118.93

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Solution

The fourth proportional to 217.17, 299.70 and 118.93 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.17 : 299.70 = 118.93 : x
  2. Step 2: Convert to fraction form
    217.17/299.70 = 118.93/x
  3. Step 3: Cross multiply
    217.17x = 299.70 × 118.93
  4. Step 4: Simplify right side
    217.17x = 35,642.57
  5. Step 5: Solve for x
    x = 35,642.57/217.17
  6. Step 6: Final answer
    x = 164.12

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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.