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Finding the Fourth Proportional to 346.62, 519.47 and 164.06

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Solution

The fourth proportional to 346.62, 519.47 and 164.06 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.62 : 519.47 = 164.06 : x
  2. Step 2: Convert to fraction form
    346.62/519.47 = 164.06/x
  3. Step 3: Cross multiply
    346.62x = 519.47 × 164.06
  4. Step 4: Simplify right side
    346.62x = 85,223.43
  5. Step 5: Solve for x
    x = 85,223.43/346.62
  6. Step 6: Final answer
    x = 245.87

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