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Finding the Fourth Proportional to 395.21, 592.56 and 151.63

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Solution

The fourth proportional to 395.21, 592.56 and 151.63 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.21 : 592.56 = 151.63 : x
  2. Step 2: Convert to fraction form
    395.21/592.56 = 151.63/x
  3. Step 3: Cross multiply
    395.21x = 592.56 × 151.63
  4. Step 4: Simplify right side
    395.21x = 89,846.91
  5. Step 5: Solve for x
    x = 89,846.91/395.21
  6. Step 6: Final answer
    x = 227.34

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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.