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Finding the Fourth Proportional to 412.23, 618.33 and 138.45

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Solution

The fourth proportional to 412.23, 618.33 and 138.45 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.23 : 618.33 = 138.45 : x
  2. Step 2: Convert to fraction form
    412.23/618.33 = 138.45/x
  3. Step 3: Cross multiply
    412.23x = 618.33 × 138.45
  4. Step 4: Simplify right side
    412.23x = 85,607.79
  5. Step 5: Solve for x
    x = 85,607.79/412.23
  6. Step 6: Final answer
    x = 207.67

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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.