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Finding the Fourth Proportional to 189.76, 282.89 and 181.12

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Solution

The fourth proportional to 189.76, 282.89 and 181.12 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.76 : 282.89 = 181.12 : x
  2. Step 2: Convert to fraction form
    189.76/282.89 = 181.12/x
  3. Step 3: Cross multiply
    189.76x = 282.89 × 181.12
  4. Step 4: Simplify right side
    189.76x = 51,237.04
  5. Step 5: Solve for x
    x = 51,237.04/189.76
  6. Step 6: Final answer
    x = 270.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.