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Finding the Fourth Proportional to 195.60, 271.18 and 184.08

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Solution

The fourth proportional to 195.60, 271.18 and 184.08 is: 255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 271.18 = 184.08 : x
  2. Step 2: Convert to fraction form
    195.60/271.18 = 184.08/x
  3. Step 3: Cross multiply
    195.60x = 271.18 × 184.08
  4. Step 4: Simplify right side
    195.60x = 49,918.81
  5. Step 5: Solve for x
    x = 49,918.81/195.60
  6. Step 6: Final answer
    x = 255.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.