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Finding the Fourth Proportional to 346.98, 519.84 and 164.10

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Solution

The fourth proportional to 346.98, 519.84 and 164.10 is: 245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.98 : 519.84 = 164.10 : x
  2. Step 2: Convert to fraction form
    346.98/519.84 = 164.10/x
  3. Step 3: Cross multiply
    346.98x = 519.84 × 164.10
  4. Step 4: Simplify right side
    346.98x = 85,305.74
  5. Step 5: Solve for x
    x = 85,305.74/346.98
  6. Step 6: Final answer
    x = 245.85

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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.