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Finding the Fourth Proportional to 164.79, 227.70 and 118.08

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Solution

The fourth proportional to 164.79, 227.70 and 118.08 is: 163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.79 : 227.70 = 118.08 : x
  2. Step 2: Convert to fraction form
    164.79/227.70 = 118.08/x
  3. Step 3: Cross multiply
    164.79x = 227.70 × 118.08
  4. Step 4: Simplify right side
    164.79x = 26,886.82
  5. Step 5: Solve for x
    x = 26,886.82/164.79
  6. Step 6: Final answer
    x = 163.16

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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.