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Finding the Fourth Proportional to 164.79, 247.18 and 49.22

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Solution

The fourth proportional to 164.79, 247.18 and 49.22 is: 73.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.79 : 247.18 = 49.22 : x
  2. Step 2: Convert to fraction form
    164.79/247.18 = 49.22/x
  3. Step 3: Cross multiply
    164.79x = 247.18 × 49.22
  4. Step 4: Simplify right side
    164.79x = 12,164.96
  5. Step 5: Solve for x
    x = 12,164.96/164.79
  6. Step 6: Final answer
    x = 73.82

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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.