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Finding the Fourth Proportional to 164.58, 226.98 and 150

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Solution

The fourth proportional to 164.58, 226.98 and 150 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 226.98 = 150 : x
  2. Step 2: Convert to fraction form
    164.58/226.98 = 150/x
  3. Step 3: Cross multiply
    164.58x = 226.98 × 150
  4. Step 4: Simplify right side
    164.58x = 34,047
  5. Step 5: Solve for x
    x = 34,047/164.58
  6. Step 6: Final answer
    x = 206.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.