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Finding the Fourth Proportional to 334.65, 461.78 and 187.28

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Solution

The fourth proportional to 334.65, 461.78 and 187.28 is: 258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.65 : 461.78 = 187.28 : x
  2. Step 2: Convert to fraction form
    334.65/461.78 = 187.28/x
  3. Step 3: Cross multiply
    334.65x = 461.78 × 187.28
  4. Step 4: Simplify right side
    334.65x = 86,478.91
  5. Step 5: Solve for x
    x = 86,478.91/334.65
  6. Step 6: Final answer
    x = 258.42

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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.