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Finding the Fourth Proportional to 346.79, 519.99 and 164.13

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Solution

The fourth proportional to 346.79, 519.99 and 164.13 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.79 : 519.99 = 164.13 : x
  2. Step 2: Convert to fraction form
    346.79/519.99 = 164.13/x
  3. Step 3: Cross multiply
    346.79x = 519.99 × 164.13
  4. Step 4: Simplify right side
    346.79x = 85,345.96
  5. Step 5: Solve for x
    x = 85,345.96/346.79
  6. Step 6: Final answer
    x = 246.11

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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.