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Finding the Fourth Proportional to 295.71, 407.68 and 225.54

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Solution

The fourth proportional to 295.71, 407.68 and 225.54 is: 310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.71 : 407.68 = 225.54 : x
  2. Step 2: Convert to fraction form
    295.71/407.68 = 225.54/x
  3. Step 3: Cross multiply
    295.71x = 407.68 × 225.54
  4. Step 4: Simplify right side
    295.71x = 91,948.15
  5. Step 5: Solve for x
    x = 91,948.15/295.71
  6. Step 6: Final answer
    x = 310.94

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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.