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Finding the Fourth Proportional to 368.99, 509.07 and 221.67

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Solution

The fourth proportional to 368.99, 509.07 and 221.67 is: 305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.99 : 509.07 = 221.67 : x
  2. Step 2: Convert to fraction form
    368.99/509.07 = 221.67/x
  3. Step 3: Cross multiply
    368.99x = 509.07 × 221.67
  4. Step 4: Simplify right side
    368.99x = 112,845.55
  5. Step 5: Solve for x
    x = 112,845.55/368.99
  6. Step 6: Final answer
    x = 305.82

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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.