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Finding the Fourth Proportional to 395.43, 592.68 and 164.06

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Solution

The fourth proportional to 395.43, 592.68 and 164.06 is: 245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.43 : 592.68 = 164.06 : x
  2. Step 2: Convert to fraction form
    395.43/592.68 = 164.06/x
  3. Step 3: Cross multiply
    395.43x = 592.68 × 164.06
  4. Step 4: Simplify right side
    395.43x = 97,232.12
  5. Step 5: Solve for x
    x = 97,232.12/395.43
  6. Step 6: Final answer
    x = 245.89

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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.