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Finding the Fourth Proportional to 189.78, 284.81 and 146.56

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Solution

The fourth proportional to 189.78, 284.81 and 146.56 is: 219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.78 : 284.81 = 146.56 : x
  2. Step 2: Convert to fraction form
    189.78/284.81 = 146.56/x
  3. Step 3: Cross multiply
    189.78x = 284.81 × 146.56
  4. Step 4: Simplify right side
    189.78x = 41,741.41
  5. Step 5: Solve for x
    x = 41,741.41/189.78
  6. Step 6: Final answer
    x = 219.94

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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.