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Finding the Fourth Proportional to 189.42, 283.85 and 148.92

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Solution

The fourth proportional to 189.42, 283.85 and 148.92 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 283.85 = 148.92 : x
  2. Step 2: Convert to fraction form
    189.42/283.85 = 148.92/x
  3. Step 3: Cross multiply
    189.42x = 283.85 × 148.92
  4. Step 4: Simplify right side
    189.42x = 42,270.94
  5. Step 5: Solve for x
    x = 42,270.94/189.42
  6. Step 6: Final answer
    x = 223.16

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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.