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Finding the Fourth Proportional to 194.54, 289.94 and 184.82

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Solution

The fourth proportional to 194.54, 289.94 and 184.82 is: 275.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.54 : 289.94 = 184.82 : x
  2. Step 2: Convert to fraction form
    194.54/289.94 = 184.82/x
  3. Step 3: Cross multiply
    194.54x = 289.94 × 184.82
  4. Step 4: Simplify right side
    194.54x = 53,586.71
  5. Step 5: Solve for x
    x = 53,586.71/194.54
  6. Step 6: Final answer
    x = 275.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.