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Finding the Fourth Proportional to 395.08, 592.11 and 178.47

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Solution

The fourth proportional to 395.08, 592.11 and 178.47 is: 267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.08 : 592.11 = 178.47 : x
  2. Step 2: Convert to fraction form
    395.08/592.11 = 178.47/x
  3. Step 3: Cross multiply
    395.08x = 592.11 × 178.47
  4. Step 4: Simplify right side
    395.08x = 105,673.87
  5. Step 5: Solve for x
    x = 105,673.87/395.08
  6. Step 6: Final answer
    x = 267.48

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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.