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Finding the Fourth Proportional to 164.27, 244.82 and 157.47

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Solution

The fourth proportional to 164.27, 244.82 and 157.47 is: 234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.27 : 244.82 = 157.47 : x
  2. Step 2: Convert to fraction form
    164.27/244.82 = 157.47/x
  3. Step 3: Cross multiply
    164.27x = 244.82 × 157.47
  4. Step 4: Simplify right side
    164.27x = 38,551.02
  5. Step 5: Solve for x
    x = 38,551.02/164.27
  6. Step 6: Final answer
    x = 234.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.