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Finding the Fourth Proportional to 164.77, 247.14 and 49.22

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Solution

The fourth proportional to 164.77, 247.14 and 49.22 is: 73.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.77 : 247.14 = 49.22 : x
  2. Step 2: Convert to fraction form
    164.77/247.14 = 49.22/x
  3. Step 3: Cross multiply
    164.77x = 247.14 × 49.22
  4. Step 4: Simplify right side
    164.77x = 12,164.23
  5. Step 5: Solve for x
    x = 12,164.23/164.77
  6. Step 6: Final answer
    x = 73.83

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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.