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Finding the Fourth Proportional to 215.70, 323.51 and 100.16

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Solution

The fourth proportional to 215.70, 323.51 and 100.16 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.70 : 323.51 = 100.16 : x
  2. Step 2: Convert to fraction form
    215.70/323.51 = 100.16/x
  3. Step 3: Cross multiply
    215.70x = 323.51 × 100.16
  4. Step 4: Simplify right side
    215.70x = 32,400.64
  5. Step 5: Solve for x
    x = 32,400.64/215.70
  6. Step 6: Final answer
    x = 150.21

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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.