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Finding the Fourth Proportional to 346.71, 520.10 and 164.06

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Solution

The fourth proportional to 346.71, 520.10 and 164.06 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.71 : 520.10 = 164.06 : x
  2. Step 2: Convert to fraction form
    346.71/520.10 = 164.06/x
  3. Step 3: Cross multiply
    346.71x = 520.10 × 164.06
  4. Step 4: Simplify right side
    346.71x = 85,327.61
  5. Step 5: Solve for x
    x = 85,327.61/346.71
  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.