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Finding the Fourth Proportional to 340.44, 510.39 and 145.27

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Solution

The fourth proportional to 340.44, 510.39 and 145.27 is: 217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.44 : 510.39 = 145.27 : x
  2. Step 2: Convert to fraction form
    340.44/510.39 = 145.27/x
  3. Step 3: Cross multiply
    340.44x = 510.39 × 145.27
  4. Step 4: Simplify right side
    340.44x = 74,144.36
  5. Step 5: Solve for x
    x = 74,144.36/340.44
  6. Step 6: Final answer
    x = 217.79

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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.