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Finding the Fourth Proportional to 274.86, 412.56 and 236.52

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Solution

The fourth proportional to 274.86, 412.56 and 236.52 is: 355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 412.56 = 236.52 : x
  2. Step 2: Convert to fraction form
    274.86/412.56 = 236.52/x
  3. Step 3: Cross multiply
    274.86x = 412.56 × 236.52
  4. Step 4: Simplify right side
    274.86x = 97,578.69
  5. Step 5: Solve for x
    x = 97,578.69/274.86
  6. Step 6: Final answer
    x = 355.01

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Why These Related Problems?

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