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Finding the Fourth Proportional to 343.34, 515 and 137.85

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Solution

The fourth proportional to 343.34, 515 and 137.85 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.34 : 515 = 137.85 : x
  2. Step 2: Convert to fraction form
    343.34/515 = 137.85/x
  3. Step 3: Cross multiply
    343.34x = 515 × 137.85
  4. Step 4: Simplify right side
    343.34x = 70,992.75
  5. Step 5: Solve for x
    x = 70,992.75/343.34
  6. Step 6: Final answer
    x = 206.77

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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.