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Finding the Fourth Proportional to 203.33, 304.79 and 99.14

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Solution

The fourth proportional to 203.33, 304.79 and 99.14 is: 148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.33 : 304.79 = 99.14 : x
  2. Step 2: Convert to fraction form
    203.33/304.79 = 99.14/x
  3. Step 3: Cross multiply
    203.33x = 304.79 × 99.14
  4. Step 4: Simplify right side
    203.33x = 30,214.86
  5. Step 5: Solve for x
    x = 30,214.86/203.33
  6. Step 6: Final answer
    x = 148.60

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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.