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Finding the Fourth Proportional to 202.40, 303.60 and 105.20

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Solution

The fourth proportional to 202.40, 303.60 and 105.20 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 303.60 = 105.20 : x
  2. Step 2: Convert to fraction form
    202.40/303.60 = 105.20/x
  3. Step 3: Cross multiply
    202.40x = 303.60 × 105.20
  4. Step 4: Simplify right side
    202.40x = 31,938.72
  5. Step 5: Solve for x
    x = 31,938.72/202.40
  6. Step 6: Final answer
    x = 157.80

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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.