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Finding the Fourth Proportional to 536.67, 804.98 and 166.47

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Solution

The fourth proportional to 536.67, 804.98 and 166.47 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 804.98 = 166.47 : x
  2. Step 2: Convert to fraction form
    536.67/804.98 = 166.47/x
  3. Step 3: Cross multiply
    536.67x = 804.98 × 166.47
  4. Step 4: Simplify right side
    536.67x = 134,004.19
  5. Step 5: Solve for x
    x = 134,004.19/536.67
  6. Step 6: Final answer
    x = 249.70

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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.