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Finding the Fourth Proportional to 215.81, 323.65 and 100.24

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Solution

The fourth proportional to 215.81, 323.65 and 100.24 is: 150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.81 : 323.65 = 100.24 : x
  2. Step 2: Convert to fraction form
    215.81/323.65 = 100.24/x
  3. Step 3: Cross multiply
    215.81x = 323.65 × 100.24
  4. Step 4: Simplify right side
    215.81x = 32,441.43
  5. Step 5: Solve for x
    x = 32,441.43/215.81
  6. Step 6: Final answer
    x = 150.32

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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.