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Finding the Fourth Proportional to 195.27, 290.75 and 192.35

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Solution

The fourth proportional to 195.27, 290.75 and 192.35 is: 286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.27 : 290.75 = 192.35 : x
  2. Step 2: Convert to fraction form
    195.27/290.75 = 192.35/x
  3. Step 3: Cross multiply
    195.27x = 290.75 × 192.35
  4. Step 4: Simplify right side
    195.27x = 55,925.76
  5. Step 5: Solve for x
    x = 55,925.76/195.27
  6. Step 6: Final answer
    x = 286.40

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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.