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Finding the Fourth Proportional to 195.84, 295.16 and 184.10

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Solution

The fourth proportional to 195.84, 295.16 and 184.10 is: 277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.84 : 295.16 = 184.10 : x
  2. Step 2: Convert to fraction form
    195.84/295.16 = 184.10/x
  3. Step 3: Cross multiply
    195.84x = 295.16 × 184.10
  4. Step 4: Simplify right side
    195.84x = 54,336.56
  5. Step 5: Solve for x
    x = 54,336.56/195.84
  6. Step 6: Final answer
    x = 277.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.