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Finding the Fourth Proportional to 194.67, 291.96 and 98.46

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Solution

The fourth proportional to 194.67, 291.96 and 98.46 is: 147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.67 : 291.96 = 98.46 : x
  2. Step 2: Convert to fraction form
    194.67/291.96 = 98.46/x
  3. Step 3: Cross multiply
    194.67x = 291.96 × 98.46
  4. Step 4: Simplify right side
    194.67x = 28,746.38
  5. Step 5: Solve for x
    x = 28,746.38/194.67
  6. Step 6: Final answer
    x = 147.67

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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.