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Finding the Fourth Proportional to 507.38, 760.63 and 178.27

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Solution

The fourth proportional to 507.38, 760.63 and 178.27 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 760.63 = 178.27 : x
  2. Step 2: Convert to fraction form
    507.38/760.63 = 178.27/x
  3. Step 3: Cross multiply
    507.38x = 760.63 × 178.27
  4. Step 4: Simplify right side
    507.38x = 135,596.62
  5. Step 5: Solve for x
    x = 135,596.62/507.38
  6. Step 6: Final answer
    x = 267.25

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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.