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Finding the Fourth Proportional to 264.08, 364 and 198.48

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Solution

The fourth proportional to 264.08, 364 and 198.48 is: 273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.08 : 364 = 198.48 : x
  2. Step 2: Convert to fraction form
    264.08/364 = 198.48/x
  3. Step 3: Cross multiply
    264.08x = 364 × 198.48
  4. Step 4: Simplify right side
    264.08x = 72,246.72
  5. Step 5: Solve for x
    x = 72,246.72/264.08
  6. Step 6: Final answer
    x = 273.58

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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.