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Finding the Fourth Proportional to 333.76, 500.63 and 138.68

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Solution

The fourth proportional to 333.76, 500.63 and 138.68 is: 208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.76 : 500.63 = 138.68 : x
  2. Step 2: Convert to fraction form
    333.76/500.63 = 138.68/x
  3. Step 3: Cross multiply
    333.76x = 500.63 × 138.68
  4. Step 4: Simplify right side
    333.76x = 69,427.37
  5. Step 5: Solve for x
    x = 69,427.37/333.76
  6. Step 6: Final answer
    x = 208.02

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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.