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Finding the Fourth Proportional to 174.17, 260.09 and 164.04

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Solution

The fourth proportional to 174.17, 260.09 and 164.04 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.17 : 260.09 = 164.04 : x
  2. Step 2: Convert to fraction form
    174.17/260.09 = 164.04/x
  3. Step 3: Cross multiply
    174.17x = 260.09 × 164.04
  4. Step 4: Simplify right side
    174.17x = 42,664.34
  5. Step 5: Solve for x
    x = 42,664.34/174.17
  6. Step 6: Final answer
    x = 244.97

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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.