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Finding the Fourth Proportional to 191, 286.32 and 180.74

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Solution

The fourth proportional to 191, 286.32 and 180.74 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 286.32 = 180.74 : x
  2. Step 2: Convert to fraction form
    191/286.32 = 180.74/x
  3. Step 3: Cross multiply
    191x = 286.32 × 180.74
  4. Step 4: Simplify right side
    191x = 51,749.48
  5. Step 5: Solve for x
    x = 51,749.48/191
  6. Step 6: Final answer
    x = 270.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.