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Finding the Fourth Proportional to 223.02, 305.64 and 220

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Solution

The fourth proportional to 223.02, 305.64 and 220 is: 301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.02 : 305.64 = 220 : x
  2. Step 2: Convert to fraction form
    223.02/305.64 = 220/x
  3. Step 3: Cross multiply
    223.02x = 305.64 × 220
  4. Step 4: Simplify right side
    223.02x = 67,240.80
  5. Step 5: Solve for x
    x = 67,240.80/223.02
  6. Step 6: Final answer
    x = 301.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.