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Finding the Fourth Proportional to 258.64, 357.84 and 219.17

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Solution

The fourth proportional to 258.64, 357.84 and 219.17 is: 303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.64 : 357.84 = 219.17 : x
  2. Step 2: Convert to fraction form
    258.64/357.84 = 219.17/x
  3. Step 3: Cross multiply
    258.64x = 357.84 × 219.17
  4. Step 4: Simplify right side
    258.64x = 78,428.53
  5. Step 5: Solve for x
    x = 78,428.53/258.64
  6. Step 6: Final answer
    x = 303.24

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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.