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Finding the Fourth Proportional to 339.88, 509.82 and 147.50

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Solution

The fourth proportional to 339.88, 509.82 and 147.50 is: 221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.88 : 509.82 = 147.50 : x
  2. Step 2: Convert to fraction form
    339.88/509.82 = 147.50/x
  3. Step 3: Cross multiply
    339.88x = 509.82 × 147.50
  4. Step 4: Simplify right side
    339.88x = 75,198.45
  5. Step 5: Solve for x
    x = 75,198.45/339.88
  6. Step 6: Final answer
    x = 221.25

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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.