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Finding the Fourth Proportional to 397.10, 595.67 and 137.13

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Solution

The fourth proportional to 397.10, 595.67 and 137.13 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.10 : 595.67 = 137.13 : x
  2. Step 2: Convert to fraction form
    397.10/595.67 = 137.13/x
  3. Step 3: Cross multiply
    397.10x = 595.67 × 137.13
  4. Step 4: Simplify right side
    397.10x = 81,684.23
  5. Step 5: Solve for x
    x = 81,684.23/397.10
  6. Step 6: Final answer
    x = 205.70

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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.