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Finding the Fourth Proportional to 219.80, 328.74 and 128.26

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Solution

The fourth proportional to 219.80, 328.74 and 128.26 is: 191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 328.74 = 128.26 : x
  2. Step 2: Convert to fraction form
    219.80/328.74 = 128.26/x
  3. Step 3: Cross multiply
    219.80x = 328.74 × 128.26
  4. Step 4: Simplify right side
    219.80x = 42,164.19
  5. Step 5: Solve for x
    x = 42,164.19/219.80
  6. Step 6: Final answer
    x = 191.83

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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.