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Finding the Fourth Proportional to 346.80, 520.18 and 164.09

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Solution

The fourth proportional to 346.80, 520.18 and 164.09 is: 246.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 520.18 = 164.09 : x
  2. Step 2: Convert to fraction form
    346.80/520.18 = 164.09/x
  3. Step 3: Cross multiply
    346.80x = 520.18 × 164.09
  4. Step 4: Simplify right side
    346.80x = 85,356.34
  5. Step 5: Solve for x
    x = 85,356.34/346.80
  6. Step 6: Final answer
    x = 246.13

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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.