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Finding the Fourth Proportional to 252.51, 348.37 and 165.23

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Solution

The fourth proportional to 252.51, 348.37 and 165.23 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.51 : 348.37 = 165.23 : x
  2. Step 2: Convert to fraction form
    252.51/348.37 = 165.23/x
  3. Step 3: Cross multiply
    252.51x = 348.37 × 165.23
  4. Step 4: Simplify right side
    252.51x = 57,561.18
  5. Step 5: Solve for x
    x = 57,561.18/252.51
  6. Step 6: Final answer
    x = 227.96

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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.