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Finding the Fourth Proportional to 397, 595.74 and 165.88

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Solution

The fourth proportional to 397, 595.74 and 165.88 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 595.74 = 165.88 : x
  2. Step 2: Convert to fraction form
    397/595.74 = 165.88/x
  3. Step 3: Cross multiply
    397x = 595.74 × 165.88
  4. Step 4: Simplify right side
    397x = 98,821.35
  5. Step 5: Solve for x
    x = 98,821.35/397
  6. Step 6: Final answer
    x = 248.92

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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.