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Finding the Fourth Proportional to 189.94, 285.54 and 149.84

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Solution

The fourth proportional to 189.94, 285.54 and 149.84 is: 225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.94 : 285.54 = 149.84 : x
  2. Step 2: Convert to fraction form
    189.94/285.54 = 149.84/x
  3. Step 3: Cross multiply
    189.94x = 285.54 × 149.84
  4. Step 4: Simplify right side
    189.94x = 42,785.31
  5. Step 5: Solve for x
    x = 42,785.31/189.94
  6. Step 6: Final answer
    x = 225.26

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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.