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Finding the Fourth Proportional to 346.54, 519.60 and 164.02

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Solution

The fourth proportional to 346.54, 519.60 and 164.02 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.54 : 519.60 = 164.02 : x
  2. Step 2: Convert to fraction form
    346.54/519.60 = 164.02/x
  3. Step 3: Cross multiply
    346.54x = 519.60 × 164.02
  4. Step 4: Simplify right side
    346.54x = 85,224.79
  5. Step 5: Solve for x
    x = 85,224.79/346.54
  6. Step 6: Final answer
    x = 245.93

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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.