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Finding the Fourth Proportional to 164.96, 246.06 and 150.98

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Solution

The fourth proportional to 164.96, 246.06 and 150.98 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.96 : 246.06 = 150.98 : x
  2. Step 2: Convert to fraction form
    164.96/246.06 = 150.98/x
  3. Step 3: Cross multiply
    164.96x = 246.06 × 150.98
  4. Step 4: Simplify right side
    164.96x = 37,150.14
  5. Step 5: Solve for x
    x = 37,150.14/164.96
  6. Step 6: Final answer
    x = 225.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.