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Finding the Fourth Proportional to 295.12, 407.24 and 178.80

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Solution

The fourth proportional to 295.12, 407.24 and 178.80 is: 246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.12 : 407.24 = 178.80 : x
  2. Step 2: Convert to fraction form
    295.12/407.24 = 178.80/x
  3. Step 3: Cross multiply
    295.12x = 407.24 × 178.80
  4. Step 4: Simplify right side
    295.12x = 72,814.51
  5. Step 5: Solve for x
    x = 72,814.51/295.12
  6. Step 6: Final answer
    x = 246.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.