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Finding the Fourth Proportional to 507.98, 762.02 and 183.35

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Solution

The fourth proportional to 507.98, 762.02 and 183.35 is: 275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.98 : 762.02 = 183.35 : x
  2. Step 2: Convert to fraction form
    507.98/762.02 = 183.35/x
  3. Step 3: Cross multiply
    507.98x = 762.02 × 183.35
  4. Step 4: Simplify right side
    507.98x = 139,716.37
  5. Step 5: Solve for x
    x = 139,716.37/507.98
  6. Step 6: Final answer
    x = 275.04

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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.