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Finding the Fourth Proportional to 272.86, 376.30 and 207.38

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Solution

The fourth proportional to 272.86, 376.30 and 207.38 is: 286.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 376.30 = 207.38 : x
  2. Step 2: Convert to fraction form
    272.86/376.30 = 207.38/x
  3. Step 3: Cross multiply
    272.86x = 376.30 × 207.38
  4. Step 4: Simplify right side
    272.86x = 78,037.09
  5. Step 5: Solve for x
    x = 78,037.09/272.86
  6. Step 6: Final answer
    x = 286.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.