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Finding the Fourth Proportional to 345.79, 477.06 and 196.39

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Solution

The fourth proportional to 345.79, 477.06 and 196.39 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.79 : 477.06 = 196.39 : x
  2. Step 2: Convert to fraction form
    345.79/477.06 = 196.39/x
  3. Step 3: Cross multiply
    345.79x = 477.06 × 196.39
  4. Step 4: Simplify right side
    345.79x = 93,686.99
  5. Step 5: Solve for x
    x = 93,686.99/345.79
  6. Step 6: Final answer
    x = 270.94

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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.