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Finding the Fourth Proportional to 333.51, 500.26 and 150.78

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Solution

The fourth proportional to 333.51, 500.26 and 150.78 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.51 : 500.26 = 150.78 : x
  2. Step 2: Convert to fraction form
    333.51/500.26 = 150.78/x
  3. Step 3: Cross multiply
    333.51x = 500.26 × 150.78
  4. Step 4: Simplify right side
    333.51x = 75,425.95
  5. Step 5: Solve for x
    x = 75,425.95/333.51
  6. Step 6: Final answer
    x = 226.16

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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.