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Finding the Fourth Proportional to 164.09, 244.76 and 153.83

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Solution

The fourth proportional to 164.09, 244.76 and 153.83 is: 229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.09 : 244.76 = 153.83 : x
  2. Step 2: Convert to fraction form
    164.09/244.76 = 153.83/x
  3. Step 3: Cross multiply
    164.09x = 244.76 × 153.83
  4. Step 4: Simplify right side
    164.09x = 37,651.27
  5. Step 5: Solve for x
    x = 37,651.27/164.09
  6. Step 6: Final answer
    x = 229.45

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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.