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Finding the Fourth Proportional to 260.59, 360.02 and 221.66

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Solution

The fourth proportional to 260.59, 360.02 and 221.66 is: 306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.59 : 360.02 = 221.66 : x
  2. Step 2: Convert to fraction form
    260.59/360.02 = 221.66/x
  3. Step 3: Cross multiply
    260.59x = 360.02 × 221.66
  4. Step 4: Simplify right side
    260.59x = 79,802.03
  5. Step 5: Solve for x
    x = 79,802.03/260.59
  6. Step 6: Final answer
    x = 306.24

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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.