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Finding the Fourth Proportional to 215.65, 323.36 and 100.00

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Solution

The fourth proportional to 215.65, 323.36 and 100.00 is: 149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.65 : 323.36 = 100.00 : x
  2. Step 2: Convert to fraction form
    215.65/323.36 = 100.00/x
  3. Step 3: Cross multiply
    215.65x = 323.36 × 100.00
  4. Step 4: Simplify right side
    215.65x = 32,334.38
  5. Step 5: Solve for x
    x = 32,334.38/215.65
  6. Step 6: Final answer
    x = 149.94

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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.