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Finding the Fourth Proportional to 507.38, 761.22 and 182.76

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Solution

The fourth proportional to 507.38, 761.22 and 182.76 is: 274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 761.22 = 182.76 : x
  2. Step 2: Convert to fraction form
    507.38/761.22 = 182.76/x
  3. Step 3: Cross multiply
    507.38x = 761.22 × 182.76
  4. Step 4: Simplify right side
    507.38x = 139,120.57
  5. Step 5: Solve for x
    x = 139,120.57/507.38
  6. Step 6: Final answer
    x = 274.19

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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.