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Finding the Fourth Proportional to 346.53, 519.69 and 163.74

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Solution

The fourth proportional to 346.53, 519.69 and 163.74 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.53 : 519.69 = 163.74 : x
  2. Step 2: Convert to fraction form
    346.53/519.69 = 163.74/x
  3. Step 3: Cross multiply
    346.53x = 519.69 × 163.74
  4. Step 4: Simplify right side
    346.53x = 85,094.04
  5. Step 5: Solve for x
    x = 85,094.04/346.53
  6. Step 6: Final answer
    x = 245.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.