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Finding the Fourth Proportional to 260.84, 360.42 and 214.76

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Solution

The fourth proportional to 260.84, 360.42 and 214.76 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.84 : 360.42 = 214.76 : x
  2. Step 2: Convert to fraction form
    260.84/360.42 = 214.76/x
  3. Step 3: Cross multiply
    260.84x = 360.42 × 214.76
  4. Step 4: Simplify right side
    260.84x = 77,403.80
  5. Step 5: Solve for x
    x = 77,403.80/260.84
  6. Step 6: Final answer
    x = 296.75

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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.