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Finding the Fourth Proportional to 275.92, 381.18 and 242.98

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Solution

The fourth proportional to 275.92, 381.18 and 242.98 is: 335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.92 : 381.18 = 242.98 : x
  2. Step 2: Convert to fraction form
    275.92/381.18 = 242.98/x
  3. Step 3: Cross multiply
    275.92x = 381.18 × 242.98
  4. Step 4: Simplify right side
    275.92x = 92,619.12
  5. Step 5: Solve for x
    x = 92,619.12/275.92
  6. Step 6: Final answer
    x = 335.67

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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.