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Finding the Fourth Proportional to 193.30, 266.75 and 105.98

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Solution

The fourth proportional to 193.30, 266.75 and 105.98 is: 146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.30 : 266.75 = 105.98 : x
  2. Step 2: Convert to fraction form
    193.30/266.75 = 105.98/x
  3. Step 3: Cross multiply
    193.30x = 266.75 × 105.98
  4. Step 4: Simplify right side
    193.30x = 28,270.17
  5. Step 5: Solve for x
    x = 28,270.17/193.30
  6. Step 6: Final answer
    x = 146.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.