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Finding the Fourth Proportional to 164.57, 246.92 and 56.43

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Solution

The fourth proportional to 164.57, 246.92 and 56.43 is: 84.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 246.92 = 56.43 : x
  2. Step 2: Convert to fraction form
    164.57/246.92 = 56.43/x
  3. Step 3: Cross multiply
    164.57x = 246.92 × 56.43
  4. Step 4: Simplify right side
    164.57x = 13,933.41
  5. Step 5: Solve for x
    x = 13,933.41/164.57
  6. Step 6: Final answer
    x = 84.67

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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.