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Finding the Fourth Proportional to 215.18, 321.98 and 138.14

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Solution

The fourth proportional to 215.18, 321.98 and 138.14 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.18 : 321.98 = 138.14 : x
  2. Step 2: Convert to fraction form
    215.18/321.98 = 138.14/x
  3. Step 3: Cross multiply
    215.18x = 321.98 × 138.14
  4. Step 4: Simplify right side
    215.18x = 44,478.32
  5. Step 5: Solve for x
    x = 44,478.32/215.18
  6. Step 6: Final answer
    x = 206.70

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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.