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Finding the Fourth Proportional to 219.07, 328.20 and 110.60

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Solution

The fourth proportional to 219.07, 328.20 and 110.60 is: 165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.07 : 328.20 = 110.60 : x
  2. Step 2: Convert to fraction form
    219.07/328.20 = 110.60/x
  3. Step 3: Cross multiply
    219.07x = 328.20 × 110.60
  4. Step 4: Simplify right side
    219.07x = 36,298.92
  5. Step 5: Solve for x
    x = 36,298.92/219.07
  6. Step 6: Final answer
    x = 165.70

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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.