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Finding the Fourth Proportional to 334.51, 461.72 and 194.66

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Solution

The fourth proportional to 334.51, 461.72 and 194.66 is: 268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.51 : 461.72 = 194.66 : x
  2. Step 2: Convert to fraction form
    334.51/461.72 = 194.66/x
  3. Step 3: Cross multiply
    334.51x = 461.72 × 194.66
  4. Step 4: Simplify right side
    334.51x = 89,875.13
  5. Step 5: Solve for x
    x = 89,875.13/334.51
  6. Step 6: Final answer
    x = 268.68

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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.