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Finding the Fourth Proportional to 339.64, 509.45 and 144.61

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Solution

The fourth proportional to 339.64, 509.45 and 144.61 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.64 : 509.45 = 144.61 : x
  2. Step 2: Convert to fraction form
    339.64/509.45 = 144.61/x
  3. Step 3: Cross multiply
    339.64x = 509.45 × 144.61
  4. Step 4: Simplify right side
    339.64x = 73,671.56
  5. Step 5: Solve for x
    x = 73,671.56/339.64
  6. Step 6: Final answer
    x = 216.91

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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.