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Finding the Fourth Proportional to 536.25, 804.50 and 194.25

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Solution

The fourth proportional to 536.25, 804.50 and 194.25 is: 291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.25 : 804.50 = 194.25 : x
  2. Step 2: Convert to fraction form
    536.25/804.50 = 194.25/x
  3. Step 3: Cross multiply
    536.25x = 804.50 × 194.25
  4. Step 4: Simplify right side
    536.25x = 156,274.13
  5. Step 5: Solve for x
    x = 156,274.13/536.25
  6. Step 6: Final answer
    x = 291.42

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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.