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Finding the Fourth Proportional to 475.54, 713.23 and 150.83

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Solution

The fourth proportional to 475.54, 713.23 and 150.83 is: 226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.54 : 713.23 = 150.83 : x
  2. Step 2: Convert to fraction form
    475.54/713.23 = 150.83/x
  3. Step 3: Cross multiply
    475.54x = 713.23 × 150.83
  4. Step 4: Simplify right side
    475.54x = 107,576.48
  5. Step 5: Solve for x
    x = 107,576.48/475.54
  6. Step 6: Final answer
    x = 226.22

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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.