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Finding the Fourth Proportional to 339.81, 509.71 and 120.43

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Solution

The fourth proportional to 339.81, 509.71 and 120.43 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.81 : 509.71 = 120.43 : x
  2. Step 2: Convert to fraction form
    339.81/509.71 = 120.43/x
  3. Step 3: Cross multiply
    339.81x = 509.71 × 120.43
  4. Step 4: Simplify right side
    339.81x = 61,381.83
  5. Step 5: Solve for x
    x = 61,381.83/339.81
  6. Step 6: Final answer
    x = 180.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.