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Finding the Fourth Proportional to 164.81, 247.31 and 148

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Solution

The fourth proportional to 164.81, 247.31 and 148 is: 222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.81 : 247.31 = 148 : x
  2. Step 2: Convert to fraction form
    164.81/247.31 = 148/x
  3. Step 3: Cross multiply
    164.81x = 247.31 × 148
  4. Step 4: Simplify right side
    164.81x = 36,601.88
  5. Step 5: Solve for x
    x = 36,601.88/164.81
  6. Step 6: Final answer
    x = 222.09

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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.