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Finding the Fourth Proportional to 334.41, 461.47 and 187.06

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Solution

The fourth proportional to 334.41, 461.47 and 187.06 is: 258.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.41 : 461.47 = 187.06 : x
  2. Step 2: Convert to fraction form
    334.41/461.47 = 187.06/x
  3. Step 3: Cross multiply
    334.41x = 461.47 × 187.06
  4. Step 4: Simplify right side
    334.41x = 86,320.27
  5. Step 5: Solve for x
    x = 86,320.27/334.41
  6. Step 6: Final answer
    x = 258.13

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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.