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Finding the Fourth Proportional to 536.18, 803.12 and 227.63

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Solution

The fourth proportional to 536.18, 803.12 and 227.63 is: 340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.18 : 803.12 = 227.63 : x
  2. Step 2: Convert to fraction form
    536.18/803.12 = 227.63/x
  3. Step 3: Cross multiply
    536.18x = 803.12 × 227.63
  4. Step 4: Simplify right side
    536.18x = 182,815.08
  5. Step 5: Solve for x
    x = 182,815.08/536.18
  6. Step 6: Final answer
    x = 340.96

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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.