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Finding the Fourth Proportional to 345.69, 477 and 196.32

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Solution

The fourth proportional to 345.69, 477 and 196.32 is: 270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 477 = 196.32 : x
  2. Step 2: Convert to fraction form
    345.69/477 = 196.32/x
  3. Step 3: Cross multiply
    345.69x = 477 × 196.32
  4. Step 4: Simplify right side
    345.69x = 93,644.64
  5. Step 5: Solve for x
    x = 93,644.64/345.69
  6. Step 6: Final answer
    x = 270.89

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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.