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Finding the Fourth Proportional to 264.28, 364.74 and 160.72

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Solution

The fourth proportional to 264.28, 364.74 and 160.72 is: 221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.28 : 364.74 = 160.72 : x
  2. Step 2: Convert to fraction form
    264.28/364.74 = 160.72/x
  3. Step 3: Cross multiply
    264.28x = 364.74 × 160.72
  4. Step 4: Simplify right side
    264.28x = 58,621.01
  5. Step 5: Solve for x
    x = 58,621.01/264.28
  6. Step 6: Final answer
    x = 221.81

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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.