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Finding the Fourth Proportional to 313.84, 433.02 and 197.56

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Solution

The fourth proportional to 313.84, 433.02 and 197.56 is: 272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.84 : 433.02 = 197.56 : x
  2. Step 2: Convert to fraction form
    313.84/433.02 = 197.56/x
  3. Step 3: Cross multiply
    313.84x = 433.02 × 197.56
  4. Step 4: Simplify right side
    313.84x = 85,547.43
  5. Step 5: Solve for x
    x = 85,547.43/313.84
  6. Step 6: Final answer
    x = 272.58

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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.