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Finding the Fourth Proportional to 164.66, 227.06 and 117.94

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Solution

The fourth proportional to 164.66, 227.06 and 117.94 is: 162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.66 : 227.06 = 117.94 : x
  2. Step 2: Convert to fraction form
    164.66/227.06 = 117.94/x
  3. Step 3: Cross multiply
    164.66x = 227.06 × 117.94
  4. Step 4: Simplify right side
    164.66x = 26,779.46
  5. Step 5: Solve for x
    x = 26,779.46/164.66
  6. Step 6: Final answer
    x = 162.63

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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.