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Finding the Fourth Proportional to 339.46, 508.98 and 156.70

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Solution

The fourth proportional to 339.46, 508.98 and 156.70 is: 234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.46 : 508.98 = 156.70 : x
  2. Step 2: Convert to fraction form
    339.46/508.98 = 156.70/x
  3. Step 3: Cross multiply
    339.46x = 508.98 × 156.70
  4. Step 4: Simplify right side
    339.46x = 79,757.17
  5. Step 5: Solve for x
    x = 79,757.17/339.46
  6. Step 6: Final answer
    x = 234.95

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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.