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Finding the Fourth Proportional to 215.64, 297.72 and 201.12

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Solution

The fourth proportional to 215.64, 297.72 and 201.12 is: 277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 297.72 = 201.12 : x
  2. Step 2: Convert to fraction form
    215.64/297.72 = 201.12/x
  3. Step 3: Cross multiply
    215.64x = 297.72 × 201.12
  4. Step 4: Simplify right side
    215.64x = 59,877.45
  5. Step 5: Solve for x
    x = 59,877.45/215.64
  6. Step 6: Final answer
    x = 277.67

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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.