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Finding the Fourth Proportional to 333.54, 500.19 and 128.00

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Solution

The fourth proportional to 333.54, 500.19 and 128.00 is: 191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.54 : 500.19 = 128.00 : x
  2. Step 2: Convert to fraction form
    333.54/500.19 = 128.00/x
  3. Step 3: Cross multiply
    333.54x = 500.19 × 128.00
  4. Step 4: Simplify right side
    333.54x = 64,025.57
  5. Step 5: Solve for x
    x = 64,025.57/333.54
  6. Step 6: Final answer
    x = 191.96

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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.