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Finding the Fourth Proportional to 189.23, 260.96 and 130.10

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Solution

The fourth proportional to 189.23, 260.96 and 130.10 is: 179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.23 : 260.96 = 130.10 : x
  2. Step 2: Convert to fraction form
    189.23/260.96 = 130.10/x
  3. Step 3: Cross multiply
    189.23x = 260.96 × 130.10
  4. Step 4: Simplify right side
    189.23x = 33,948.94
  5. Step 5: Solve for x
    x = 33,948.94/189.23
  6. Step 6: Final answer
    x = 179.41

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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.