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Finding the Fourth Proportional to 340.08, 509.94 and 145.14

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Solution

The fourth proportional to 340.08, 509.94 and 145.14 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.08 : 509.94 = 145.14 : x
  2. Step 2: Convert to fraction form
    340.08/509.94 = 145.14/x
  3. Step 3: Cross multiply
    340.08x = 509.94 × 145.14
  4. Step 4: Simplify right side
    340.08x = 74,012.69
  5. Step 5: Solve for x
    x = 74,012.69/340.08
  6. Step 6: Final answer
    x = 217.63

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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.