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Finding the Fourth Proportional to 346.59, 519.58 and 164.04

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Solution

The fourth proportional to 346.59, 519.58 and 164.04 is: 245.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.59 : 519.58 = 164.04 : x
  2. Step 2: Convert to fraction form
    346.59/519.58 = 164.04/x
  3. Step 3: Cross multiply
    346.59x = 519.58 × 164.04
  4. Step 4: Simplify right side
    346.59x = 85,230.16
  5. Step 5: Solve for x
    x = 85,230.16/346.59
  6. Step 6: Final answer
    x = 245.91

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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.