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Finding the Fourth Proportional to 343.53, 515.14 and 137.93

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Solution

The fourth proportional to 343.53, 515.14 and 137.93 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.53 : 515.14 = 137.93 : x
  2. Step 2: Convert to fraction form
    343.53/515.14 = 137.93/x
  3. Step 3: Cross multiply
    343.53x = 515.14 × 137.93
  4. Step 4: Simplify right side
    343.53x = 71,050.34
  5. Step 5: Solve for x
    x = 71,050.34/343.53
  6. Step 6: Final answer
    x = 206.82

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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.