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Finding the Fourth Proportional to 219.46, 328.95 and 111.01

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Solution

The fourth proportional to 219.46, 328.95 and 111.01 is: 166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.46 : 328.95 = 111.01 : x
  2. Step 2: Convert to fraction form
    219.46/328.95 = 111.01/x
  3. Step 3: Cross multiply
    219.46x = 328.95 × 111.01
  4. Step 4: Simplify right side
    219.46x = 36,516.74
  5. Step 5: Solve for x
    x = 36,516.74/219.46
  6. Step 6: Final answer
    x = 166.39

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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.