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Finding the Fourth Proportional to 338.59, 507.07 and 193.87

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Solution

The fourth proportional to 338.59, 507.07 and 193.87 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.59 : 507.07 = 193.87 : x
  2. Step 2: Convert to fraction form
    338.59/507.07 = 193.87/x
  3. Step 3: Cross multiply
    338.59x = 507.07 × 193.87
  4. Step 4: Simplify right side
    338.59x = 98,305.66
  5. Step 5: Solve for x
    x = 98,305.66/338.59
  6. Step 6: Final answer
    x = 290.34

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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.