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Finding the Fourth Proportional to 203.81, 280.94 and 148.46

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Solution

The fourth proportional to 203.81, 280.94 and 148.46 is: 204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.81 : 280.94 = 148.46 : x
  2. Step 2: Convert to fraction form
    203.81/280.94 = 148.46/x
  3. Step 3: Cross multiply
    203.81x = 280.94 × 148.46
  4. Step 4: Simplify right side
    203.81x = 41,706.21
  5. Step 5: Solve for x
    x = 41,706.21/203.81
  6. Step 6: Final answer
    x = 204.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.