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Finding the Fourth Proportional to 345.84, 477.24 and 198.37

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Solution

The fourth proportional to 345.84, 477.24 and 198.37 is: 273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.84 : 477.24 = 198.37 : x
  2. Step 2: Convert to fraction form
    345.84/477.24 = 198.37/x
  3. Step 3: Cross multiply
    345.84x = 477.24 × 198.37
  4. Step 4: Simplify right side
    345.84x = 94,668.91
  5. Step 5: Solve for x
    x = 94,668.91/345.84
  6. Step 6: Final answer
    x = 273.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.