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Finding the Fourth Proportional to 506.97, 760.23 and 177.84

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Solution

The fourth proportional to 506.97, 760.23 and 177.84 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.97 : 760.23 = 177.84 : x
  2. Step 2: Convert to fraction form
    506.97/760.23 = 177.84/x
  3. Step 3: Cross multiply
    506.97x = 760.23 × 177.84
  4. Step 4: Simplify right side
    506.97x = 135,199.30
  5. Step 5: Solve for x
    x = 135,199.30/506.97
  6. Step 6: Final answer
    x = 266.68

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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.