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Finding the Fourth Proportional to 333.97, 500.93 and 138.93

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Solution

The fourth proportional to 333.97, 500.93 and 138.93 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.97 : 500.93 = 138.93 : x
  2. Step 2: Convert to fraction form
    333.97/500.93 = 138.93/x
  3. Step 3: Cross multiply
    333.97x = 500.93 × 138.93
  4. Step 4: Simplify right side
    333.97x = 69,593.51
  5. Step 5: Solve for x
    x = 69,593.51/333.97
  6. Step 6: Final answer
    x = 208.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.