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Finding the Fourth Proportional to 189.35, 260.88 and 142.65

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Solution

The fourth proportional to 189.35, 260.88 and 142.65 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.35 : 260.88 = 142.65 : x
  2. Step 2: Convert to fraction form
    189.35/260.88 = 142.65/x
  3. Step 3: Cross multiply
    189.35x = 260.88 × 142.65
  4. Step 4: Simplify right side
    189.35x = 37,214.53
  5. Step 5: Solve for x
    x = 37,214.53/189.35
  6. Step 6: Final answer
    x = 196.54

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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.