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Finding the Fourth Proportional to 314.52, 434 and 198.24

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Solution

The fourth proportional to 314.52, 434 and 198.24 is: 273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 434 = 198.24 : x
  2. Step 2: Convert to fraction form
    314.52/434 = 198.24/x
  3. Step 3: Cross multiply
    314.52x = 434 × 198.24
  4. Step 4: Simplify right side
    314.52x = 86,036.16
  5. Step 5: Solve for x
    x = 86,036.16/314.52
  6. Step 6: Final answer
    x = 273.55

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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.