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Finding the Fourth Proportional to 213.36, 319.76 and 154.99

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Solution

The fourth proportional to 213.36, 319.76 and 154.99 is: 232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.36 : 319.76 = 154.99 : x
  2. Step 2: Convert to fraction form
    213.36/319.76 = 154.99/x
  3. Step 3: Cross multiply
    213.36x = 319.76 × 154.99
  4. Step 4: Simplify right side
    213.36x = 49,559.60
  5. Step 5: Solve for x
    x = 49,559.60/213.36
  6. Step 6: Final answer
    x = 232.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.