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Finding the Fourth Proportional to 274.59, 412.02 and 120.51

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Solution

The fourth proportional to 274.59, 412.02 and 120.51 is: 180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.59 : 412.02 = 120.51 : x
  2. Step 2: Convert to fraction form
    274.59/412.02 = 120.51/x
  3. Step 3: Cross multiply
    274.59x = 412.02 × 120.51
  4. Step 4: Simplify right side
    274.59x = 49,652.53
  5. Step 5: Solve for x
    x = 49,652.53/274.59
  6. Step 6: Final answer
    x = 180.82

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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.