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Finding the Fourth Proportional to 223.65, 335.93 and 137.07

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Solution

The fourth proportional to 223.65, 335.93 and 137.07 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.65 : 335.93 = 137.07 : x
  2. Step 2: Convert to fraction form
    223.65/335.93 = 137.07/x
  3. Step 3: Cross multiply
    223.65x = 335.93 × 137.07
  4. Step 4: Simplify right side
    223.65x = 46,045.24
  5. Step 5: Solve for x
    x = 46,045.24/223.65
  6. Step 6: Final answer
    x = 205.88

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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.