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Finding the Fourth Proportional to 264.20, 362.64 and 252.92

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Solution

The fourth proportional to 264.20, 362.64 and 252.92 is: 347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 362.64 = 252.92 : x
  2. Step 2: Convert to fraction form
    264.20/362.64 = 252.92/x
  3. Step 3: Cross multiply
    264.20x = 362.64 × 252.92
  4. Step 4: Simplify right side
    264.20x = 91,717.51
  5. Step 5: Solve for x
    x = 91,717.51/264.20
  6. Step 6: Final answer
    x = 347.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.