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Finding the Fourth Proportional to 342.88, 513.58 and 198.24

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Solution

The fourth proportional to 342.88, 513.58 and 198.24 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.88 : 513.58 = 198.24 : x
  2. Step 2: Convert to fraction form
    342.88/513.58 = 198.24/x
  3. Step 3: Cross multiply
    342.88x = 513.58 × 198.24
  4. Step 4: Simplify right side
    342.88x = 101,812.10
  5. Step 5: Solve for x
    x = 101,812.10/342.88
  6. Step 6: Final answer
    x = 296.93

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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.