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Finding the Fourth Proportional to 527.61, 791.04 and 162.20

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Solution

The fourth proportional to 527.61, 791.04 and 162.20 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.61 : 791.04 = 162.20 : x
  2. Step 2: Convert to fraction form
    527.61/791.04 = 162.20/x
  3. Step 3: Cross multiply
    527.61x = 791.04 × 162.20
  4. Step 4: Simplify right side
    527.61x = 128,308.67
  5. Step 5: Solve for x
    x = 128,308.67/527.61
  6. Step 6: Final answer
    x = 243.19

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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.