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Finding the Fourth Proportional to 395.18, 592.31 and 164.03

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Solution

The fourth proportional to 395.18, 592.31 and 164.03 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.18 : 592.31 = 164.03 : x
  2. Step 2: Convert to fraction form
    395.18/592.31 = 164.03/x
  3. Step 3: Cross multiply
    395.18x = 592.31 × 164.03
  4. Step 4: Simplify right side
    395.18x = 97,154.06
  5. Step 5: Solve for x
    x = 97,154.06/395.18
  6. Step 6: Final answer
    x = 245.85

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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.