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Finding the Fourth Proportional to 184.87, 277.61 and 154.67

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Solution

The fourth proportional to 184.87, 277.61 and 154.67 is: 232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.87 : 277.61 = 154.67 : x
  2. Step 2: Convert to fraction form
    184.87/277.61 = 154.67/x
  3. Step 3: Cross multiply
    184.87x = 277.61 × 154.67
  4. Step 4: Simplify right side
    184.87x = 42,937.94
  5. Step 5: Solve for x
    x = 42,937.94/184.87
  6. Step 6: Final answer
    x = 232.26

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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.