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Finding the Fourth Proportional to 345.60, 477.02 and 198.25

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Solution

The fourth proportional to 345.60, 477.02 and 198.25 is: 273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 477.02 = 198.25 : x
  2. Step 2: Convert to fraction form
    345.60/477.02 = 198.25/x
  3. Step 3: Cross multiply
    345.60x = 477.02 × 198.25
  4. Step 4: Simplify right side
    345.60x = 94,568.52
  5. Step 5: Solve for x
    x = 94,568.52/345.60
  6. Step 6: Final answer
    x = 273.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.