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Finding the Fourth Proportional to 536.24, 804.41 and 146.24

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Solution

The fourth proportional to 536.24, 804.41 and 146.24 is: 219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 804.41 = 146.24 : x
  2. Step 2: Convert to fraction form
    536.24/804.41 = 146.24/x
  3. Step 3: Cross multiply
    536.24x = 804.41 × 146.24
  4. Step 4: Simplify right side
    536.24x = 117,636.92
  5. Step 5: Solve for x
    x = 117,636.92/536.24
  6. Step 6: Final answer
    x = 219.37

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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.