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Finding the Fourth Proportional to 527.99, 791.12 and 181.14

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Solution

The fourth proportional to 527.99, 791.12 and 181.14 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.99 : 791.12 = 181.14 : x
  2. Step 2: Convert to fraction form
    527.99/791.12 = 181.14/x
  3. Step 3: Cross multiply
    527.99x = 791.12 × 181.14
  4. Step 4: Simplify right side
    527.99x = 143,300.28
  5. Step 5: Solve for x
    x = 143,300.28/527.99
  6. Step 6: Final answer
    x = 271.41

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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.