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Finding the Fourth Proportional to 189, 260.80 and 106.10

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Solution

The fourth proportional to 189, 260.80 and 106.10 is: 146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 260.80 = 106.10 : x
  2. Step 2: Convert to fraction form
    189/260.80 = 106.10/x
  3. Step 3: Cross multiply
    189x = 260.80 × 106.10
  4. Step 4: Simplify right side
    189x = 27,669.05
  5. Step 5: Solve for x
    x = 27,669.05/189
  6. Step 6: Final answer
    x = 146.40

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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.