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Finding the Fourth Proportional to 164.49, 246.74 and 42.77

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Solution

The fourth proportional to 164.49, 246.74 and 42.77 is: 64.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.49 : 246.74 = 42.77 : x
  2. Step 2: Convert to fraction form
    164.49/246.74 = 42.77/x
  3. Step 3: Cross multiply
    164.49x = 246.74 × 42.77
  4. Step 4: Simplify right side
    164.49x = 10,551.62
  5. Step 5: Solve for x
    x = 10,551.62/164.49
  6. Step 6: Final answer
    x = 64.15

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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.