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Finding the Fourth Proportional to 203.71, 304.85 and 148.93

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Solution

The fourth proportional to 203.71, 304.85 and 148.93 is: 222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.71 : 304.85 = 148.93 : x
  2. Step 2: Convert to fraction form
    203.71/304.85 = 148.93/x
  3. Step 3: Cross multiply
    203.71x = 304.85 × 148.93
  4. Step 4: Simplify right side
    203.71x = 45,400.57
  5. Step 5: Solve for x
    x = 45,400.57/203.71
  6. Step 6: Final answer
    x = 222.87

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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.