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Finding the Fourth Proportional to 155.79, 234.09 and 146.57

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Solution

The fourth proportional to 155.79, 234.09 and 146.57 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.79 : 234.09 = 146.57 : x
  2. Step 2: Convert to fraction form
    155.79/234.09 = 146.57/x
  3. Step 3: Cross multiply
    155.79x = 234.09 × 146.57
  4. Step 4: Simplify right side
    155.79x = 34,309.40
  5. Step 5: Solve for x
    x = 34,309.40/155.79
  6. Step 6: Final answer
    x = 220.23

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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.