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Finding the Fourth Proportional to 149.99, 223.73 and 146.75

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Solution

The fourth proportional to 149.99, 223.73 and 146.75 is: 218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.99 : 223.73 = 146.75 : x
  2. Step 2: Convert to fraction form
    149.99/223.73 = 146.75/x
  3. Step 3: Cross multiply
    149.99x = 223.73 × 146.75
  4. Step 4: Simplify right side
    149.99x = 32,831.08
  5. Step 5: Solve for x
    x = 32,831.08/149.99
  6. Step 6: Final answer
    x = 218.90

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