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Finding the Fourth Proportional to 345.62, 476.94 and 196.25

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Solution

The fourth proportional to 345.62, 476.94 and 196.25 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.62 : 476.94 = 196.25 : x
  2. Step 2: Convert to fraction form
    345.62/476.94 = 196.25/x
  3. Step 3: Cross multiply
    345.62x = 476.94 × 196.25
  4. Step 4: Simplify right side
    345.62x = 93,598.49
  5. Step 5: Solve for x
    x = 93,598.49/345.62
  6. Step 6: Final answer
    x = 270.81

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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.