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Finding the Fourth Proportional to 506.77, 760.46 and 182.16

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Solution

The fourth proportional to 506.77, 760.46 and 182.16 is: 273.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.77 : 760.46 = 182.16 : x
  2. Step 2: Convert to fraction form
    506.77/760.46 = 182.16/x
  3. Step 3: Cross multiply
    506.77x = 760.46 × 182.16
  4. Step 4: Simplify right side
    506.77x = 138,524.48
  5. Step 5: Solve for x
    x = 138,524.48/506.77
  6. Step 6: Final answer
    x = 273.35

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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.