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Finding the Fourth Proportional to 215.76, 323.64 and 100.14

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Solution

The fourth proportional to 215.76, 323.64 and 100.14 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.76 : 323.64 = 100.14 : x
  2. Step 2: Convert to fraction form
    215.76/323.64 = 100.14/x
  3. Step 3: Cross multiply
    215.76x = 323.64 × 100.14
  4. Step 4: Simplify right side
    215.76x = 32,409.31
  5. Step 5: Solve for x
    x = 32,409.31/215.76
  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.