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Finding the Fourth Proportional to 224.00, 335.91 and 100.64

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Solution

The fourth proportional to 224.00, 335.91 and 100.64 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.00 : 335.91 = 100.64 : x
  2. Step 2: Convert to fraction form
    224.00/335.91 = 100.64/x
  3. Step 3: Cross multiply
    224.00x = 335.91 × 100.64
  4. Step 4: Simplify right side
    224.00x = 33,804.65
  5. Step 5: Solve for x
    x = 33,804.65/224.00
  6. Step 6: Final answer
    x = 150.92

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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.