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Finding the Fourth Proportional to 264.26, 364.22 and 211.62

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Solution

The fourth proportional to 264.26, 364.22 and 211.62 is: 291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 364.22 = 211.62 : x
  2. Step 2: Convert to fraction form
    264.26/364.22 = 211.62/x
  3. Step 3: Cross multiply
    264.26x = 364.22 × 211.62
  4. Step 4: Simplify right side
    264.26x = 77,075.18
  5. Step 5: Solve for x
    x = 77,075.18/264.26
  6. Step 6: Final answer
    x = 291.67

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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.