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Finding the Fourth Proportional to 341.70, 511.96 and 187.75

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Solution

The fourth proportional to 341.70, 511.96 and 187.75 is: 281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.70 : 511.96 = 187.75 : x
  2. Step 2: Convert to fraction form
    341.70/511.96 = 187.75/x
  3. Step 3: Cross multiply
    341.70x = 511.96 × 187.75
  4. Step 4: Simplify right side
    341.70x = 96,121.36
  5. Step 5: Solve for x
    x = 96,121.36/341.70
  6. Step 6: Final answer
    x = 281.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.