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Finding the Fourth Proportional to 506.82, 760.08 and 177.75

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Solution

The fourth proportional to 506.82, 760.08 and 177.75 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 760.08 = 177.75 : x
  2. Step 2: Convert to fraction form
    506.82/760.08 = 177.75/x
  3. Step 3: Cross multiply
    506.82x = 760.08 × 177.75
  4. Step 4: Simplify right side
    506.82x = 135,104.22
  5. Step 5: Solve for x
    x = 135,104.22/506.82
  6. Step 6: Final answer
    x = 266.57

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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.