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Finding the Fourth Proportional to 313.64, 432.74 and 197.14

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Solution

The fourth proportional to 313.64, 432.74 and 197.14 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.64 : 432.74 = 197.14 : x
  2. Step 2: Convert to fraction form
    313.64/432.74 = 197.14/x
  3. Step 3: Cross multiply
    313.64x = 432.74 × 197.14
  4. Step 4: Simplify right side
    313.64x = 85,310.36
  5. Step 5: Solve for x
    x = 85,310.36/313.64
  6. Step 6: Final answer
    x = 272.00

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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.