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Finding the Fourth Proportional to 536.65, 804.96 and 189.90

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Solution

The fourth proportional to 536.65, 804.96 and 189.90 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.65 : 804.96 = 189.90 : x
  2. Step 2: Convert to fraction form
    536.65/804.96 = 189.90/x
  3. Step 3: Cross multiply
    536.65x = 804.96 × 189.90
  4. Step 4: Simplify right side
    536.65x = 152,861.90
  5. Step 5: Solve for x
    x = 152,861.90/536.65
  6. Step 6: Final answer
    x = 284.85

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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.