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Finding the Fourth Proportional to 189.63, 283.77 and 148.86

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Solution

The fourth proportional to 189.63, 283.77 and 148.86 is: 222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.63 : 283.77 = 148.86 : x
  2. Step 2: Convert to fraction form
    189.63/283.77 = 148.86/x
  3. Step 3: Cross multiply
    189.63x = 283.77 × 148.86
  4. Step 4: Simplify right side
    189.63x = 42,242.00
  5. Step 5: Solve for x
    x = 42,242.00/189.63
  6. Step 6: Final answer
    x = 222.76

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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.