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Finding the Fourth Proportional to 225.32, 338.40 and 192.87

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Solution

The fourth proportional to 225.32, 338.40 and 192.87 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 338.40 = 192.87 : x
  2. Step 2: Convert to fraction form
    225.32/338.40 = 192.87/x
  3. Step 3: Cross multiply
    225.32x = 338.40 × 192.87
  4. Step 4: Simplify right side
    225.32x = 65,267.21
  5. Step 5: Solve for x
    x = 65,267.21/225.32
  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.