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Finding the Fourth Proportional to 193.65, 289.80 and 135.60

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Solution

The fourth proportional to 193.65, 289.80 and 135.60 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.65 : 289.80 = 135.60 : x
  2. Step 2: Convert to fraction form
    193.65/289.80 = 135.60/x
  3. Step 3: Cross multiply
    193.65x = 289.80 × 135.60
  4. Step 4: Simplify right side
    193.65x = 39,296.88
  5. Step 5: Solve for x
    x = 39,296.88/193.65
  6. Step 6: Final answer
    x = 202.93

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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.