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Finding the Fourth Proportional to 264.83, 365.18 and 262.19

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Solution

The fourth proportional to 264.83, 365.18 and 262.19 is: 361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.83 : 365.18 = 262.19 : x
  2. Step 2: Convert to fraction form
    264.83/365.18 = 262.19/x
  3. Step 3: Cross multiply
    264.83x = 365.18 × 262.19
  4. Step 4: Simplify right side
    264.83x = 95,746.15
  5. Step 5: Solve for x
    x = 95,746.15/264.83
  6. Step 6: Final answer
    x = 361.54

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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.