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Finding the Fourth Proportional to 295.19, 407.25 and 184.62

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Solution

The fourth proportional to 295.19, 407.25 and 184.62 is: 254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.19 : 407.25 = 184.62 : x
  2. Step 2: Convert to fraction form
    295.19/407.25 = 184.62/x
  3. Step 3: Cross multiply
    295.19x = 407.25 × 184.62
  4. Step 4: Simplify right side
    295.19x = 75,186.50
  5. Step 5: Solve for x
    x = 75,186.50/295.19
  6. Step 6: Final answer
    x = 254.71

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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.