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Finding the Fourth Proportional to 424.54, 636.84 and 150.70

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Solution

The fourth proportional to 424.54, 636.84 and 150.70 is: 226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.54 : 636.84 = 150.70 : x
  2. Step 2: Convert to fraction form
    424.54/636.84 = 150.70/x
  3. Step 3: Cross multiply
    424.54x = 636.84 × 150.70
  4. Step 4: Simplify right side
    424.54x = 95,971.79
  5. Step 5: Solve for x
    x = 95,971.79/424.54
  6. Step 6: Final answer
    x = 226.06

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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.