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Finding the Fourth Proportional to 242.59, 335.04 and 196.47

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Solution

The fourth proportional to 242.59, 335.04 and 196.47 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.59 : 335.04 = 196.47 : x
  2. Step 2: Convert to fraction form
    242.59/335.04 = 196.47/x
  3. Step 3: Cross multiply
    242.59x = 335.04 × 196.47
  4. Step 4: Simplify right side
    242.59x = 65,823.63
  5. Step 5: Solve for x
    x = 65,823.63/242.59
  6. Step 6: Final answer
    x = 271.34

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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.