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Finding the Fourth Proportional to 264.64, 365.22 and 154.14

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Solution

The fourth proportional to 264.64, 365.22 and 154.14 is: 212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.64 : 365.22 = 154.14 : x
  2. Step 2: Convert to fraction form
    264.64/365.22 = 154.14/x
  3. Step 3: Cross multiply
    264.64x = 365.22 × 154.14
  4. Step 4: Simplify right side
    264.64x = 56,295.01
  5. Step 5: Solve for x
    x = 56,295.01/264.64
  6. Step 6: Final answer
    x = 212.72

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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.