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Finding the Fourth Proportional to 395.12, 592.94 and 164.21

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Solution

The fourth proportional to 395.12, 592.94 and 164.21 is: 246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.12 : 592.94 = 164.21 : x
  2. Step 2: Convert to fraction form
    395.12/592.94 = 164.21/x
  3. Step 3: Cross multiply
    395.12x = 592.94 × 164.21
  4. Step 4: Simplify right side
    395.12x = 97,362.89
  5. Step 5: Solve for x
    x = 97,362.89/395.12
  6. Step 6: Final answer
    x = 246.42

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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.