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Finding the Fourth Proportional to 272.40, 375.12 and 206.76

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Solution

The fourth proportional to 272.40, 375.12 and 206.76 is: 284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.40 : 375.12 = 206.76 : x
  2. Step 2: Convert to fraction form
    272.40/375.12 = 206.76/x
  3. Step 3: Cross multiply
    272.40x = 375.12 × 206.76
  4. Step 4: Simplify right side
    272.40x = 77,559.81
  5. Step 5: Solve for x
    x = 77,559.81/272.40
  6. Step 6: Final answer
    x = 284.73

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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.