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Finding the Fourth Proportional to 527.31, 791.07 and 162.08

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Solution

The fourth proportional to 527.31, 791.07 and 162.08 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.31 : 791.07 = 162.08 : x
  2. Step 2: Convert to fraction form
    527.31/791.07 = 162.08/x
  3. Step 3: Cross multiply
    527.31x = 791.07 × 162.08
  4. Step 4: Simplify right side
    527.31x = 128,216.63
  5. Step 5: Solve for x
    x = 128,216.63/527.31
  6. Step 6: Final answer
    x = 243.15

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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.