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Finding the Fourth Proportional to 536.72, 804.96 and 151.88

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Solution

The fourth proportional to 536.72, 804.96 and 151.88 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.72 : 804.96 = 151.88 : x
  2. Step 2: Convert to fraction form
    536.72/804.96 = 151.88/x
  3. Step 3: Cross multiply
    536.72x = 804.96 × 151.88
  4. Step 4: Simplify right side
    536.72x = 122,253.30
  5. Step 5: Solve for x
    x = 122,253.30/536.72
  6. Step 6: Final answer
    x = 227.78

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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.