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Finding the Fourth Proportional to 274.96, 412.35 and 177.57

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Solution

The fourth proportional to 274.96, 412.35 and 177.57 is: 266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.96 : 412.35 = 177.57 : x
  2. Step 2: Convert to fraction form
    274.96/412.35 = 177.57/x
  3. Step 3: Cross multiply
    274.96x = 412.35 × 177.57
  4. Step 4: Simplify right side
    274.96x = 73,220.99
  5. Step 5: Solve for x
    x = 73,220.99/274.96
  6. Step 6: Final answer
    x = 266.30

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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.