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Finding the Fourth Proportional to 314.64, 433.96 and 198.16

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Solution

The fourth proportional to 314.64, 433.96 and 198.16 is: 273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.64 : 433.96 = 198.16 : x
  2. Step 2: Convert to fraction form
    314.64/433.96 = 198.16/x
  3. Step 3: Cross multiply
    314.64x = 433.96 × 198.16
  4. Step 4: Simplify right side
    314.64x = 85,993.51
  5. Step 5: Solve for x
    x = 85,993.51/314.64
  6. Step 6: Final answer
    x = 273.31

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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.