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Finding the Fourth Proportional to 295.69, 407.96 and 164.68

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Solution

The fourth proportional to 295.69, 407.96 and 164.68 is: 227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.69 : 407.96 = 164.68 : x
  2. Step 2: Convert to fraction form
    295.69/407.96 = 164.68/x
  3. Step 3: Cross multiply
    295.69x = 407.96 × 164.68
  4. Step 4: Simplify right side
    295.69x = 67,180.81
  5. Step 5: Solve for x
    x = 67,180.81/295.69
  6. Step 6: Final answer
    x = 227.20

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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.