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Finding the Fourth Proportional to 203.44, 303.68 and 162.48

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Solution

The fourth proportional to 203.44, 303.68 and 162.48 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.44 : 303.68 = 162.48 : x
  2. Step 2: Convert to fraction form
    203.44/303.68 = 162.48/x
  3. Step 3: Cross multiply
    203.44x = 303.68 × 162.48
  4. Step 4: Simplify right side
    203.44x = 49,341.93
  5. Step 5: Solve for x
    x = 49,341.93/203.44
  6. Step 6: Final answer
    x = 242.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.