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Finding the Fourth Proportional to 508.26, 761.92 and 183.54

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Solution

The fourth proportional to 508.26, 761.92 and 183.54 is: 275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.26 : 761.92 = 183.54 : x
  2. Step 2: Convert to fraction form
    508.26/761.92 = 183.54/x
  3. Step 3: Cross multiply
    508.26x = 761.92 × 183.54
  4. Step 4: Simplify right side
    508.26x = 139,842.80
  5. Step 5: Solve for x
    x = 139,842.80/508.26
  6. Step 6: Final answer
    x = 275.14

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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.