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Finding the Fourth Proportional to 219.87, 328.89 and 154.89

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Solution

The fourth proportional to 219.87, 328.89 and 154.89 is: 231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.87 : 328.89 = 154.89 : x
  2. Step 2: Convert to fraction form
    219.87/328.89 = 154.89/x
  3. Step 3: Cross multiply
    219.87x = 328.89 × 154.89
  4. Step 4: Simplify right side
    219.87x = 50,941.77
  5. Step 5: Solve for x
    x = 50,941.77/219.87
  6. Step 6: Final answer
    x = 231.69

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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.