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Finding the Fourth Proportional to 251.81, 347.74 and 164.53

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Solution

The fourth proportional to 251.81, 347.74 and 164.53 is: 227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.81 : 347.74 = 164.53 : x
  2. Step 2: Convert to fraction form
    251.81/347.74 = 164.53/x
  3. Step 3: Cross multiply
    251.81x = 347.74 × 164.53
  4. Step 4: Simplify right side
    251.81x = 57,214.61
  5. Step 5: Solve for x
    x = 57,214.61/251.81
  6. Step 6: Final answer
    x = 227.21

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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.