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Finding the Fourth Proportional to 306.84, 423.49 and 196.35

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Solution

The fourth proportional to 306.84, 423.49 and 196.35 is: 271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 423.49 = 196.35 : x
  2. Step 2: Convert to fraction form
    306.84/423.49 = 196.35/x
  3. Step 3: Cross multiply
    306.84x = 423.49 × 196.35
  4. Step 4: Simplify right side
    306.84x = 83,152.02
  5. Step 5: Solve for x
    x = 83,152.02/306.84
  6. Step 6: Final answer
    x = 271.00

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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.