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Finding the Fourth Proportional to 216.62, 298.70 and 154.42

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Solution

The fourth proportional to 216.62, 298.70 and 154.42 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.62 : 298.70 = 154.42 : x
  2. Step 2: Convert to fraction form
    216.62/298.70 = 154.42/x
  3. Step 3: Cross multiply
    216.62x = 298.70 × 154.42
  4. Step 4: Simplify right side
    216.62x = 46,125.99
  5. Step 5: Solve for x
    x = 46,125.99/216.62
  6. Step 6: Final answer
    x = 212.94

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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.