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Finding the Fourth Proportional to 164.83, 227.61 and 157.05

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Solution

The fourth proportional to 164.83, 227.61 and 157.05 is: 216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.83 : 227.61 = 157.05 : x
  2. Step 2: Convert to fraction form
    164.83/227.61 = 157.05/x
  3. Step 3: Cross multiply
    164.83x = 227.61 × 157.05
  4. Step 4: Simplify right side
    164.83x = 35,746.15
  5. Step 5: Solve for x
    x = 35,746.15/164.83
  6. Step 6: Final answer
    x = 216.87

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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.