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Finding the Fourth Proportional to 189.82, 262.08 and 146.08

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Solution

The fourth proportional to 189.82, 262.08 and 146.08 is: 201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.82 : 262.08 = 146.08 : x
  2. Step 2: Convert to fraction form
    189.82/262.08 = 146.08/x
  3. Step 3: Cross multiply
    189.82x = 262.08 × 146.08
  4. Step 4: Simplify right side
    189.82x = 38,284.65
  5. Step 5: Solve for x
    x = 38,284.65/189.82
  6. Step 6: Final answer
    x = 201.69

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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.