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Finding the Fourth Proportional to 301.56, 416.25 and 214.08

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Solution

The fourth proportional to 301.56, 416.25 and 214.08 is: 295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.56 : 416.25 = 214.08 : x
  2. Step 2: Convert to fraction form
    301.56/416.25 = 214.08/x
  3. Step 3: Cross multiply
    301.56x = 416.25 × 214.08
  4. Step 4: Simplify right side
    301.56x = 89,110.80
  5. Step 5: Solve for x
    x = 89,110.80/301.56
  6. Step 6: Final answer
    x = 295.50

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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.