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Finding the Fourth Proportional to 334.01, 461.06 and 223.65

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Solution

The fourth proportional to 334.01, 461.06 and 223.65 is: 308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.01 : 461.06 = 223.65 : x
  2. Step 2: Convert to fraction form
    334.01/461.06 = 223.65/x
  3. Step 3: Cross multiply
    334.01x = 461.06 × 223.65
  4. Step 4: Simplify right side
    334.01x = 103,116.07
  5. Step 5: Solve for x
    x = 103,116.07/334.01
  6. Step 6: Final answer
    x = 308.72

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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.