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Finding the Fourth Proportional to 340.14, 509.46 and 193.56

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Solution

The fourth proportional to 340.14, 509.46 and 193.56 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.14 : 509.46 = 193.56 : x
  2. Step 2: Convert to fraction form
    340.14/509.46 = 193.56/x
  3. Step 3: Cross multiply
    340.14x = 509.46 × 193.56
  4. Step 4: Simplify right side
    340.14x = 98,611.08
  5. Step 5: Solve for x
    x = 98,611.08/340.14
  6. Step 6: Final answer
    x = 289.91

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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.