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Finding the Fourth Proportional to 195.90, 291.14 and 192.93

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Solution

The fourth proportional to 195.90, 291.14 and 192.93 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.90 : 291.14 = 192.93 : x
  2. Step 2: Convert to fraction form
    195.90/291.14 = 192.93/x
  3. Step 3: Cross multiply
    195.90x = 291.14 × 192.93
  4. Step 4: Simplify right side
    195.90x = 56,168.68
  5. Step 5: Solve for x
    x = 56,168.68/195.90
  6. Step 6: Final answer
    x = 286.72

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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.