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Finding the Fourth Proportional to 193.33, 265.04 and 189.67

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Solution

The fourth proportional to 193.33, 265.04 and 189.67 is: 260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.33 : 265.04 = 189.67 : x
  2. Step 2: Convert to fraction form
    193.33/265.04 = 189.67/x
  3. Step 3: Cross multiply
    193.33x = 265.04 × 189.67
  4. Step 4: Simplify right side
    193.33x = 50,270.14
  5. Step 5: Solve for x
    x = 50,270.14/193.33
  6. Step 6: Final answer
    x = 260.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.