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Finding the Fourth Proportional to 264.24, 364.20 and 252.08

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Solution

The fourth proportional to 264.24, 364.20 and 252.08 is: 347.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 364.20 = 252.08 : x
  2. Step 2: Convert to fraction form
    264.24/364.20 = 252.08/x
  3. Step 3: Cross multiply
    264.24x = 364.20 × 252.08
  4. Step 4: Simplify right side
    264.24x = 91,807.54
  5. Step 5: Solve for x
    x = 91,807.54/264.24
  6. Step 6: Final answer
    x = 347.44

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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.