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Finding the Fourth Proportional to 508.09, 762.17 and 183.46

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Solution

The fourth proportional to 508.09, 762.17 and 183.46 is: 275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.09 : 762.17 = 183.46 : x
  2. Step 2: Convert to fraction form
    508.09/762.17 = 183.46/x
  3. Step 3: Cross multiply
    508.09x = 762.17 × 183.46
  4. Step 4: Simplify right side
    508.09x = 139,822.98
  5. Step 5: Solve for x
    x = 139,822.98/508.09
  6. Step 6: Final answer
    x = 275.20

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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.