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Finding the Fourth Proportional to 164.78, 227.26 and 102.56

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Solution

The fourth proportional to 164.78, 227.26 and 102.56 is: 141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.78 : 227.26 = 102.56 : x
  2. Step 2: Convert to fraction form
    164.78/227.26 = 102.56/x
  3. Step 3: Cross multiply
    164.78x = 227.26 × 102.56
  4. Step 4: Simplify right side
    164.78x = 23,307.79
  5. Step 5: Solve for x
    x = 23,307.79/164.78
  6. Step 6: Final answer
    x = 141.45

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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.