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Finding the Fourth Proportional to 295.63, 407.93 and 197.42

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Solution

The fourth proportional to 295.63, 407.93 and 197.42 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.63 : 407.93 = 197.42 : x
  2. Step 2: Convert to fraction form
    295.63/407.93 = 197.42/x
  3. Step 3: Cross multiply
    295.63x = 407.93 × 197.42
  4. Step 4: Simplify right side
    295.63x = 80,530.51
  5. Step 5: Solve for x
    x = 80,530.51/295.63
  6. Step 6: Final answer
    x = 272.41

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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.