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Finding the Fourth Proportional to 219.14, 328.71 and 89.14

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Solution

The fourth proportional to 219.14, 328.71 and 89.14 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.14 : 328.71 = 89.14 : x
  2. Step 2: Convert to fraction form
    219.14/328.71 = 89.14/x
  3. Step 3: Cross multiply
    219.14x = 328.71 × 89.14
  4. Step 4: Simplify right side
    219.14x = 29,300.99
  5. Step 5: Solve for x
    x = 29,300.99/219.14
  6. Step 6: Final answer
    x = 133.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.