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Finding the Fourth Proportional to 264.53, 364.80 and 208.41

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Solution

The fourth proportional to 264.53, 364.80 and 208.41 is: 287.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.53 : 364.80 = 208.41 : x
  2. Step 2: Convert to fraction form
    264.53/364.80 = 208.41/x
  3. Step 3: Cross multiply
    264.53x = 364.80 × 208.41
  4. Step 4: Simplify right side
    264.53x = 76,028.92
  5. Step 5: Solve for x
    x = 76,028.92/264.53
  6. Step 6: Final answer
    x = 287.41

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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.