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Finding the Fourth Proportional to 527.53, 791.38 and 162.23

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Solution

The fourth proportional to 527.53, 791.38 and 162.23 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.53 : 791.38 = 162.23 : x
  2. Step 2: Convert to fraction form
    527.53/791.38 = 162.23/x
  3. Step 3: Cross multiply
    527.53x = 791.38 × 162.23
  4. Step 4: Simplify right side
    527.53x = 128,385.58
  5. Step 5: Solve for x
    x = 128,385.58/527.53
  6. Step 6: Final answer
    x = 243.37

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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.