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Finding the Fourth Proportional to 189.30, 284.19 and 148.86

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Solution

The fourth proportional to 189.30, 284.19 and 148.86 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.30 : 284.19 = 148.86 : x
  2. Step 2: Convert to fraction form
    189.30/284.19 = 148.86/x
  3. Step 3: Cross multiply
    189.30x = 284.19 × 148.86
  4. Step 4: Simplify right side
    189.30x = 42,304.52
  5. Step 5: Solve for x
    x = 42,304.52/189.30
  6. Step 6: Final answer
    x = 223.48

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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.