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Finding the Fourth Proportional to 265.91, 366.84 and 203.67

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Solution

The fourth proportional to 265.91, 366.84 and 203.67 is: 280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 366.84 = 203.67 : x
  2. Step 2: Convert to fraction form
    265.91/366.84 = 203.67/x
  3. Step 3: Cross multiply
    265.91x = 366.84 × 203.67
  4. Step 4: Simplify right side
    265.91x = 74,714.30
  5. Step 5: Solve for x
    x = 74,714.30/265.91
  6. Step 6: Final answer
    x = 280.98

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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.