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Finding the Fourth Proportional to 215.39, 322.83 and 99.67

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Solution

The fourth proportional to 215.39, 322.83 and 99.67 is: 149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.39 : 322.83 = 99.67 : x
  2. Step 2: Convert to fraction form
    215.39/322.83 = 99.67/x
  3. Step 3: Cross multiply
    215.39x = 322.83 × 99.67
  4. Step 4: Simplify right side
    215.39x = 32,175.97
  5. Step 5: Solve for x
    x = 32,175.97/215.39
  6. Step 6: Final answer
    x = 149.39

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Why These Related Problems?

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