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Finding the Fourth Proportional to 203.05, 304.34 and 98.99

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Solution

The fourth proportional to 203.05, 304.34 and 98.99 is: 148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.05 : 304.34 = 98.99 : x
  2. Step 2: Convert to fraction form
    203.05/304.34 = 98.99/x
  3. Step 3: Cross multiply
    203.05x = 304.34 × 98.99
  4. Step 4: Simplify right side
    203.05x = 30,125.74
  5. Step 5: Solve for x
    x = 30,125.74/203.05
  6. Step 6: Final answer
    x = 148.37

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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.