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Finding the Fourth Proportional to 340.05, 509.97 and 123.57

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Solution

The fourth proportional to 340.05, 509.97 and 123.57 is: 185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.05 : 509.97 = 123.57 : x
  2. Step 2: Convert to fraction form
    340.05/509.97 = 123.57/x
  3. Step 3: Cross multiply
    340.05x = 509.97 × 123.57
  4. Step 4: Simplify right side
    340.05x = 63,016.99
  5. Step 5: Solve for x
    x = 63,016.99/340.05
  6. Step 6: Final answer
    x = 185.32

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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.