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Finding the Fourth Proportional to 265.11, 397.86 and 193.02

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Solution

The fourth proportional to 265.11, 397.86 and 193.02 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.11 : 397.86 = 193.02 : x
  2. Step 2: Convert to fraction form
    265.11/397.86 = 193.02/x
  3. Step 3: Cross multiply
    265.11x = 397.86 × 193.02
  4. Step 4: Simplify right side
    265.11x = 76,794.94
  5. Step 5: Solve for x
    x = 76,794.94/265.11
  6. Step 6: Final answer
    x = 289.67

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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.