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Finding the Fourth Proportional to 264.26, 395.84 and 155.99

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Solution

The fourth proportional to 264.26, 395.84 and 155.99 is: 233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 395.84 = 155.99 : x
  2. Step 2: Convert to fraction form
    264.26/395.84 = 155.99/x
  3. Step 3: Cross multiply
    264.26x = 395.84 × 155.99
  4. Step 4: Simplify right side
    264.26x = 61,744.32
  5. Step 5: Solve for x
    x = 61,744.32/264.26
  6. Step 6: Final answer
    x = 233.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.