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Finding the Fourth Proportional to 397.12, 595.66 and 137.06

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Solution

The fourth proportional to 397.12, 595.66 and 137.06 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.12 : 595.66 = 137.06 : x
  2. Step 2: Convert to fraction form
    397.12/595.66 = 137.06/x
  3. Step 3: Cross multiply
    397.12x = 595.66 × 137.06
  4. Step 4: Simplify right side
    397.12x = 81,641.16
  5. Step 5: Solve for x
    x = 81,641.16/397.12
  6. Step 6: Final answer
    x = 205.58

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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.