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Finding the Fourth Proportional to 339.26, 508.89 and 146.84

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Solution

The fourth proportional to 339.26, 508.89 and 146.84 is: 220.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.26 : 508.89 = 146.84 : x
  2. Step 2: Convert to fraction form
    339.26/508.89 = 146.84/x
  3. Step 3: Cross multiply
    339.26x = 508.89 × 146.84
  4. Step 4: Simplify right side
    339.26x = 74,725.41
  5. Step 5: Solve for x
    x = 74,725.41/339.26
  6. Step 6: Final answer
    x = 220.26

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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.