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Finding the Fourth Proportional to 189.06, 260.84 and 110.34

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Solution

The fourth proportional to 189.06, 260.84 and 110.34 is: 152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.06 : 260.84 = 110.34 : x
  2. Step 2: Convert to fraction form
    189.06/260.84 = 110.34/x
  3. Step 3: Cross multiply
    189.06x = 260.84 × 110.34
  4. Step 4: Simplify right side
    189.06x = 28,781.09
  5. Step 5: Solve for x
    x = 28,781.09/189.06
  6. Step 6: Final answer
    x = 152.23

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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.