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Finding the Fourth Proportional to 189.46, 283.74 and 148.60

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Solution

The fourth proportional to 189.46, 283.74 and 148.60 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.46 : 283.74 = 148.60 : x
  2. Step 2: Convert to fraction form
    189.46/283.74 = 148.60/x
  3. Step 3: Cross multiply
    189.46x = 283.74 × 148.60
  4. Step 4: Simplify right side
    189.46x = 42,163.76
  5. Step 5: Solve for x
    x = 42,163.76/189.46
  6. Step 6: Final answer
    x = 222.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.