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Finding the Fourth Proportional to 339.40, 509.16 and 185.48

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Solution

The fourth proportional to 339.40, 509.16 and 185.48 is: 278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.40 : 509.16 = 185.48 : x
  2. Step 2: Convert to fraction form
    339.40/509.16 = 185.48/x
  3. Step 3: Cross multiply
    339.40x = 509.16 × 185.48
  4. Step 4: Simplify right side
    339.40x = 94,439.00
  5. Step 5: Solve for x
    x = 94,439.00/339.40
  6. Step 6: Final answer
    x = 278.25

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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.