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Finding the Fourth Proportional to 202.38, 303.60 and 106.20

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Solution

The fourth proportional to 202.38, 303.60 and 106.20 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.38 : 303.60 = 106.20 : x
  2. Step 2: Convert to fraction form
    202.38/303.60 = 106.20/x
  3. Step 3: Cross multiply
    202.38x = 303.60 × 106.20
  4. Step 4: Simplify right side
    202.38x = 32,242.32
  5. Step 5: Solve for x
    x = 32,242.32/202.38
  6. Step 6: Final answer
    x = 159.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.