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Finding the Fourth Proportional to 164.66, 227.07 and 133.47

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Solution

The fourth proportional to 164.66, 227.07 and 133.47 is: 184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 227.07 = 133.47 : x
  2. Step 2: Convert to fraction form
    164.66/227.07 = 133.47/x
  3. Step 3: Cross multiply
    164.66x = 227.07 × 133.47
  4. Step 4: Simplify right side
    164.66x = 30,307.03
  5. Step 5: Solve for x
    x = 30,307.03/164.66
  6. Step 6: Final answer
    x = 184.06

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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.