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Finding the Fourth Proportional to 506.86, 760.32 and 182.22

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Solution

The fourth proportional to 506.86, 760.32 and 182.22 is: 273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 760.32 = 182.22 : x
  2. Step 2: Convert to fraction form
    506.86/760.32 = 182.22/x
  3. Step 3: Cross multiply
    506.86x = 760.32 × 182.22
  4. Step 4: Simplify right side
    506.86x = 138,545.51
  5. Step 5: Solve for x
    x = 138,545.51/506.86
  6. Step 6: Final answer
    x = 273.34

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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.