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Finding the Fourth Proportional to 342.53, 513.93 and 198.17

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Solution

The fourth proportional to 342.53, 513.93 and 198.17 is: 297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.53 : 513.93 = 198.17 : x
  2. Step 2: Convert to fraction form
    342.53/513.93 = 198.17/x
  3. Step 3: Cross multiply
    342.53x = 513.93 × 198.17
  4. Step 4: Simplify right side
    342.53x = 101,845.51
  5. Step 5: Solve for x
    x = 101,845.51/342.53
  6. Step 6: Final answer
    x = 297.33

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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.