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Finding the Fourth Proportional to 397.10, 595.69 and 137.07

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Solution

The fourth proportional to 397.10, 595.69 and 137.07 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.10 : 595.69 = 137.07 : x
  2. Step 2: Convert to fraction form
    397.10/595.69 = 137.07/x
  3. Step 3: Cross multiply
    397.10x = 595.69 × 137.07
  4. Step 4: Simplify right side
    397.10x = 81,649.60
  5. Step 5: Solve for x
    x = 81,649.60/397.10
  6. Step 6: Final answer
    x = 205.61

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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.