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Finding the Fourth Proportional to 536.24, 804.29 and 146.27

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Solution

The fourth proportional to 536.24, 804.29 and 146.27 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 804.29 = 146.27 : x
  2. Step 2: Convert to fraction form
    536.24/804.29 = 146.27/x
  3. Step 3: Cross multiply
    536.24x = 804.29 × 146.27
  4. Step 4: Simplify right side
    536.24x = 117,638.75
  5. Step 5: Solve for x
    x = 117,638.75/536.24
  6. Step 6: Final answer
    x = 219.38

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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.