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Finding the Fourth Proportional to 164.85, 245.57 and 150.81

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Solution

The fourth proportional to 164.85, 245.57 and 150.81 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.85 : 245.57 = 150.81 : x
  2. Step 2: Convert to fraction form
    164.85/245.57 = 150.81/x
  3. Step 3: Cross multiply
    164.85x = 245.57 × 150.81
  4. Step 4: Simplify right side
    164.85x = 37,033.66
  5. Step 5: Solve for x
    x = 37,033.66/164.85
  6. Step 6: Final answer
    x = 224.65

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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.