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Finding the Fourth Proportional to 339.26, 508.21 and 156.40

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Solution

The fourth proportional to 339.26, 508.21 and 156.40 is: 234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.26 : 508.21 = 156.40 : x
  2. Step 2: Convert to fraction form
    339.26/508.21 = 156.40/x
  3. Step 3: Cross multiply
    339.26x = 508.21 × 156.40
  4. Step 4: Simplify right side
    339.26x = 79,482.38
  5. Step 5: Solve for x
    x = 79,482.38/339.26
  6. Step 6: Final answer
    x = 234.29

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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.