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Finding the Fourth Proportional to 202.79, 304.38 and 106.67

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Solution

The fourth proportional to 202.79, 304.38 and 106.67 is: 160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.79 : 304.38 = 106.67 : x
  2. Step 2: Convert to fraction form
    202.79/304.38 = 106.67/x
  3. Step 3: Cross multiply
    202.79x = 304.38 × 106.67
  4. Step 4: Simplify right side
    202.79x = 32,467.68
  5. Step 5: Solve for x
    x = 32,467.68/202.79
  6. Step 6: Final answer
    x = 160.10

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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.