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Finding the Fourth Proportional to 298.95, 412.29 and 194

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Solution

The fourth proportional to 298.95, 412.29 and 194 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.95 : 412.29 = 194 : x
  2. Step 2: Convert to fraction form
    298.95/412.29 = 194/x
  3. Step 3: Cross multiply
    298.95x = 412.29 × 194
  4. Step 4: Simplify right side
    298.95x = 79,984.26
  5. Step 5: Solve for x
    x = 79,984.26/298.95
  6. Step 6: Final answer
    x = 267.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.