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Finding the Fourth Proportional to 311.65, 469.13 and 221.00

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Solution

The fourth proportional to 311.65, 469.13 and 221.00 is: 332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 469.13 = 221.00 : x
  2. Step 2: Convert to fraction form
    311.65/469.13 = 221.00/x
  3. Step 3: Cross multiply
    311.65x = 469.13 × 221.00
  4. Step 4: Simplify right side
    311.65x = 103,674.28
  5. Step 5: Solve for x
    x = 103,674.28/311.65
  6. Step 6: Final answer
    x = 332.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.