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Finding the Fourth Proportional to 395.24, 592.54 and 178.96

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Solution

The fourth proportional to 395.24, 592.54 and 178.96 is: 268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.24 : 592.54 = 178.96 : x
  2. Step 2: Convert to fraction form
    395.24/592.54 = 178.96/x
  3. Step 3: Cross multiply
    395.24x = 592.54 × 178.96
  4. Step 4: Simplify right side
    395.24x = 106,040.96
  5. Step 5: Solve for x
    x = 106,040.96/395.24
  6. Step 6: Final answer
    x = 268.30

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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.