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Finding the Fourth Proportional to 193.14, 266.89 and 146.43

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Solution

The fourth proportional to 193.14, 266.89 and 146.43 is: 202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 266.89 = 146.43 : x
  2. Step 2: Convert to fraction form
    193.14/266.89 = 146.43/x
  3. Step 3: Cross multiply
    193.14x = 266.89 × 146.43
  4. Step 4: Simplify right side
    193.14x = 39,080.34
  5. Step 5: Solve for x
    x = 39,080.34/193.14
  6. Step 6: Final answer
    x = 202.34

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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.