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Finding the Fourth Proportional to 194.17, 291.93 and 154.09

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Solution

The fourth proportional to 194.17, 291.93 and 154.09 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.17 : 291.93 = 154.09 : x
  2. Step 2: Convert to fraction form
    194.17/291.93 = 154.09/x
  3. Step 3: Cross multiply
    194.17x = 291.93 × 154.09
  4. Step 4: Simplify right side
    194.17x = 44,983.49
  5. Step 5: Solve for x
    x = 44,983.49/194.17
  6. Step 6: Final answer
    x = 231.67

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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.