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Finding the Fourth Proportional to 196.34, 294.03 and 98.53

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Solution

The fourth proportional to 196.34, 294.03 and 98.53 is: 147.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 294.03 = 98.53 : x
  2. Step 2: Convert to fraction form
    196.34/294.03 = 98.53/x
  3. Step 3: Cross multiply
    196.34x = 294.03 × 98.53
  4. Step 4: Simplify right side
    196.34x = 28,970.04
  5. Step 5: Solve for x
    x = 28,970.04/196.34
  6. Step 6: Final answer
    x = 147.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.