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Finding the Fourth Proportional to 188.94, 260.89 and 165.90

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Solution

The fourth proportional to 188.94, 260.89 and 165.90 is: 229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.94 : 260.89 = 165.90 : x
  2. Step 2: Convert to fraction form
    188.94/260.89 = 165.90/x
  3. Step 3: Cross multiply
    188.94x = 260.89 × 165.90
  4. Step 4: Simplify right side
    188.94x = 43,282.21
  5. Step 5: Solve for x
    x = 43,282.21/188.94
  6. Step 6: Final answer
    x = 229.08

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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.