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Finding the Fourth Proportional to 340.66, 511.09 and 121.34

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Solution

The fourth proportional to 340.66, 511.09 and 121.34 is: 182.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.66 : 511.09 = 121.34 : x
  2. Step 2: Convert to fraction form
    340.66/511.09 = 121.34/x
  3. Step 3: Cross multiply
    340.66x = 511.09 × 121.34
  4. Step 4: Simplify right side
    340.66x = 62,014.24
  5. Step 5: Solve for x
    x = 62,014.24/340.66
  6. Step 6: Final answer
    x = 182.04

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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.