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Finding the Fourth Proportional to 340.70, 511.19 and 109.62

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Solution

The fourth proportional to 340.70, 511.19 and 109.62 is: 164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.70 : 511.19 = 109.62 : x
  2. Step 2: Convert to fraction form
    340.70/511.19 = 109.62/x
  3. Step 3: Cross multiply
    340.70x = 511.19 × 109.62
  4. Step 4: Simplify right side
    340.70x = 56,036.10
  5. Step 5: Solve for x
    x = 56,036.10/340.70
  6. Step 6: Final answer
    x = 164.48

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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.