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Finding the Fourth Proportional to 252.24, 347.59 and 164.76

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Solution

The fourth proportional to 252.24, 347.59 and 164.76 is: 227.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 347.59 = 164.76 : x
  2. Step 2: Convert to fraction form
    252.24/347.59 = 164.76/x
  3. Step 3: Cross multiply
    252.24x = 347.59 × 164.76
  4. Step 4: Simplify right side
    252.24x = 57,268.93
  5. Step 5: Solve for x
    x = 57,268.93/252.24
  6. Step 6: Final answer
    x = 227.04

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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.