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Finding the Fourth Proportional to 334.03, 461.15 and 223.87

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Solution

The fourth proportional to 334.03, 461.15 and 223.87 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.03 : 461.15 = 223.87 : x
  2. Step 2: Convert to fraction form
    334.03/461.15 = 223.87/x
  3. Step 3: Cross multiply
    334.03x = 461.15 × 223.87
  4. Step 4: Simplify right side
    334.03x = 103,237.65
  5. Step 5: Solve for x
    x = 103,237.65/334.03
  6. Step 6: Final answer
    x = 309.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.