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Finding the Fourth Proportional to 215.34, 322.74 and 138.12

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Solution

The fourth proportional to 215.34, 322.74 and 138.12 is: 207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 322.74 = 138.12 : x
  2. Step 2: Convert to fraction form
    215.34/322.74 = 138.12/x
  3. Step 3: Cross multiply
    215.34x = 322.74 × 138.12
  4. Step 4: Simplify right side
    215.34x = 44,576.85
  5. Step 5: Solve for x
    x = 44,576.85/215.34
  6. Step 6: Final answer
    x = 207.01

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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.