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Finding the Fourth Proportional to 252.02, 348.04 and 164.76

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Solution

The fourth proportional to 252.02, 348.04 and 164.76 is: 227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.02 : 348.04 = 164.76 : x
  2. Step 2: Convert to fraction form
    252.02/348.04 = 164.76/x
  3. Step 3: Cross multiply
    252.02x = 348.04 × 164.76
  4. Step 4: Simplify right side
    252.02x = 57,343.07
  5. Step 5: Solve for x
    x = 57,343.07/252.02
  6. Step 6: Final answer
    x = 227.53

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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.