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Finding the Fourth Proportional to 274.63, 412.04 and 128.45

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Solution

The fourth proportional to 274.63, 412.04 and 128.45 is: 192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.63 : 412.04 = 128.45 : x
  2. Step 2: Convert to fraction form
    274.63/412.04 = 128.45/x
  3. Step 3: Cross multiply
    274.63x = 412.04 × 128.45
  4. Step 4: Simplify right side
    274.63x = 52,924.80
  5. Step 5: Solve for x
    x = 52,924.80/274.63
  6. Step 6: Final answer
    x = 192.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.