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Finding the Fourth Proportional to 295.13, 407.31 and 178.69

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Solution

The fourth proportional to 295.13, 407.31 and 178.69 is: 246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.13 : 407.31 = 178.69 : x
  2. Step 2: Convert to fraction form
    295.13/407.31 = 178.69/x
  3. Step 3: Cross multiply
    295.13x = 407.31 × 178.69
  4. Step 4: Simplify right side
    295.13x = 72,781.21
  5. Step 5: Solve for x
    x = 72,781.21/295.13
  6. Step 6: Final answer
    x = 246.61

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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.