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Finding the Fourth Proportional to 231.46, 346.95 and 180.10

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Solution

The fourth proportional to 231.46, 346.95 and 180.10 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.46 : 346.95 = 180.10 : x
  2. Step 2: Convert to fraction form
    231.46/346.95 = 180.10/x
  3. Step 3: Cross multiply
    231.46x = 346.95 × 180.10
  4. Step 4: Simplify right side
    231.46x = 62,485.70
  5. Step 5: Solve for x
    x = 62,485.70/231.46
  6. Step 6: Final answer
    x = 269.96

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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.