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Finding the Fourth Proportional to 345.85, 477.31 and 198.50

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Solution

The fourth proportional to 345.85, 477.31 and 198.50 is: 273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.85 : 477.31 = 198.50 : x
  2. Step 2: Convert to fraction form
    345.85/477.31 = 198.50/x
  3. Step 3: Cross multiply
    345.85x = 477.31 × 198.50
  4. Step 4: Simplify right side
    345.85x = 94,746.04
  5. Step 5: Solve for x
    x = 94,746.04/345.85
  6. Step 6: Final answer
    x = 273.95

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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.