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Finding the Fourth Proportional to 263.92, 396.04 and 101.74

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Solution

The fourth proportional to 263.92, 396.04 and 101.74 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.92 : 396.04 = 101.74 : x
  2. Step 2: Convert to fraction form
    263.92/396.04 = 101.74/x
  3. Step 3: Cross multiply
    263.92x = 396.04 × 101.74
  4. Step 4: Simplify right side
    263.92x = 40,293.11
  5. Step 5: Solve for x
    x = 40,293.11/263.92
  6. Step 6: Final answer
    x = 152.67

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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.