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Finding the Fourth Proportional to 334.37, 461.43 and 187

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Solution

The fourth proportional to 334.37, 461.43 and 187 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.37 : 461.43 = 187 : x
  2. Step 2: Convert to fraction form
    334.37/461.43 = 187/x
  3. Step 3: Cross multiply
    334.37x = 461.43 × 187
  4. Step 4: Simplify right side
    334.37x = 86,287.41
  5. Step 5: Solve for x
    x = 86,287.41/334.37
  6. Step 6: Final answer
    x = 258.06

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