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Finding the Fourth Proportional to 189.21, 283.66 and 148.82

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Solution

The fourth proportional to 189.21, 283.66 and 148.82 is: 223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 283.66 = 148.82 : x
  2. Step 2: Convert to fraction form
    189.21/283.66 = 148.82/x
  3. Step 3: Cross multiply
    189.21x = 283.66 × 148.82
  4. Step 4: Simplify right side
    189.21x = 42,212.49
  5. Step 5: Solve for x
    x = 42,212.49/189.21
  6. Step 6: Final answer
    x = 223.10

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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.