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Finding the Fourth Proportional to 346.55, 519.91 and 164.03

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Solution

The fourth proportional to 346.55, 519.91 and 164.03 is: 246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.55 : 519.91 = 164.03 : x
  2. Step 2: Convert to fraction form
    346.55/519.91 = 164.03/x
  3. Step 3: Cross multiply
    346.55x = 519.91 × 164.03
  4. Step 4: Simplify right side
    346.55x = 85,281.73
  5. Step 5: Solve for x
    x = 85,281.73/346.55
  6. Step 6: Final answer
    x = 246.09

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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.