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Finding the Fourth Proportional to 212.76, 294.03 and 192.24

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Solution

The fourth proportional to 212.76, 294.03 and 192.24 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.76 : 294.03 = 192.24 : x
  2. Step 2: Convert to fraction form
    212.76/294.03 = 192.24/x
  3. Step 3: Cross multiply
    212.76x = 294.03 × 192.24
  4. Step 4: Simplify right side
    212.76x = 56,524.33
  5. Step 5: Solve for x
    x = 56,524.33/212.76
  6. Step 6: Final answer
    x = 265.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.