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Finding the Fourth Proportional to 196, 293.42 and 135

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Solution

The fourth proportional to 196, 293.42 and 135 is: 202.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196 : 293.42 = 135 : x
  2. Step 2: Convert to fraction form
    196/293.42 = 135/x
  3. Step 3: Cross multiply
    196x = 293.42 × 135
  4. Step 4: Simplify right side
    196x = 39,611.70
  5. Step 5: Solve for x
    x = 39,611.70/196
  6. Step 6: Final answer
    x = 202.10

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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.