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Finding the Fourth Proportional to 346.63, 519.96 and 164.16

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Solution

The fourth proportional to 346.63, 519.96 and 164.16 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.63 : 519.96 = 164.16 : x
  2. Step 2: Convert to fraction form
    346.63/519.96 = 164.16/x
  3. Step 3: Cross multiply
    346.63x = 519.96 × 164.16
  4. Step 4: Simplify right side
    346.63x = 85,356.63
  5. Step 5: Solve for x
    x = 85,356.63/346.63
  6. Step 6: Final answer
    x = 246.25

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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.