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Finding the Fourth Proportional to 272.02, 407.62 and 251.77

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Solution

The fourth proportional to 272.02, 407.62 and 251.77 is: 377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 407.62 = 251.77 : x
  2. Step 2: Convert to fraction form
    272.02/407.62 = 251.77/x
  3. Step 3: Cross multiply
    272.02x = 407.62 × 251.77
  4. Step 4: Simplify right side
    272.02x = 102,626.49
  5. Step 5: Solve for x
    x = 102,626.49/272.02
  6. Step 6: Final answer
    x = 377.28

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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.