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Finding the Fourth Proportional to 164.23, 244.57 and 160.63

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Solution

The fourth proportional to 164.23, 244.57 and 160.63 is: 239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.23 : 244.57 = 160.63 : x
  2. Step 2: Convert to fraction form
    164.23/244.57 = 160.63/x
  3. Step 3: Cross multiply
    164.23x = 244.57 × 160.63
  4. Step 4: Simplify right side
    164.23x = 39,285.94
  5. Step 5: Solve for x
    x = 39,285.94/164.23
  6. Step 6: Final answer
    x = 239.22

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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.