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Finding the Fourth Proportional to 212.84, 291.93 and 201.07

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Solution

The fourth proportional to 212.84, 291.93 and 201.07 is: 275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 291.93 = 201.07 : x
  2. Step 2: Convert to fraction form
    212.84/291.93 = 201.07/x
  3. Step 3: Cross multiply
    212.84x = 291.93 × 201.07
  4. Step 4: Simplify right side
    212.84x = 58,697.98
  5. Step 5: Solve for x
    x = 58,697.98/212.84
  6. Step 6: Final answer
    x = 275.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.