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Finding the Fourth Proportional to 189.15, 261 and 110.49

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Solution

The fourth proportional to 189.15, 261 and 110.49 is: 152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.15 : 261 = 110.49 : x
  2. Step 2: Convert to fraction form
    189.15/261 = 110.49/x
  3. Step 3: Cross multiply
    189.15x = 261 × 110.49
  4. Step 4: Simplify right side
    189.15x = 28,837.89
  5. Step 5: Solve for x
    x = 28,837.89/189.15
  6. Step 6: Final answer
    x = 152.46

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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.