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Finding the Fourth Proportional to 536.50, 804.78 and 151.78

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Solution

The fourth proportional to 536.50, 804.78 and 151.78 is: 227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.50 : 804.78 = 151.78 : x
  2. Step 2: Convert to fraction form
    536.50/804.78 = 151.78/x
  3. Step 3: Cross multiply
    536.50x = 804.78 × 151.78
  4. Step 4: Simplify right side
    536.50x = 122,149.51
  5. Step 5: Solve for x
    x = 122,149.51/536.50
  6. Step 6: Final answer
    x = 227.68

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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.