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Finding the Fourth Proportional to 164.69, 226.95 and 153.99

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Solution

The fourth proportional to 164.69, 226.95 and 153.99 is: 212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 226.95 = 153.99 : x
  2. Step 2: Convert to fraction form
    164.69/226.95 = 153.99/x
  3. Step 3: Cross multiply
    164.69x = 226.95 × 153.99
  4. Step 4: Simplify right side
    164.69x = 34,947.76
  5. Step 5: Solve for x
    x = 34,947.76/164.69
  6. Step 6: Final answer
    x = 212.20

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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.