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Finding the Fourth Proportional to 345.59, 476.84 and 198.19

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Solution

The fourth proportional to 345.59, 476.84 and 198.19 is: 273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.59 : 476.84 = 198.19 : x
  2. Step 2: Convert to fraction form
    345.59/476.84 = 198.19/x
  3. Step 3: Cross multiply
    345.59x = 476.84 × 198.19
  4. Step 4: Simplify right side
    345.59x = 94,504.22
  5. Step 5: Solve for x
    x = 94,504.22/345.59
  6. Step 6: Final answer
    x = 273.46

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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.