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Finding the Fourth Proportional to 188.75, 260.34 and 164.15

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Solution

The fourth proportional to 188.75, 260.34 and 164.15 is: 226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.75 : 260.34 = 164.15 : x
  2. Step 2: Convert to fraction form
    188.75/260.34 = 164.15/x
  3. Step 3: Cross multiply
    188.75x = 260.34 × 164.15
  4. Step 4: Simplify right side
    188.75x = 42,733.51
  5. Step 5: Solve for x
    x = 42,733.51/188.75
  6. Step 6: Final answer
    x = 226.41

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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.