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Finding the Fourth Proportional to 265.63, 365.02 and 221.89

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Solution

The fourth proportional to 265.63, 365.02 and 221.89 is: 304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.63 : 365.02 = 221.89 : x
  2. Step 2: Convert to fraction form
    265.63/365.02 = 221.89/x
  3. Step 3: Cross multiply
    265.63x = 365.02 × 221.89
  4. Step 4: Simplify right side
    265.63x = 80,994.29
  5. Step 5: Solve for x
    x = 80,994.29/265.63
  6. Step 6: Final answer
    x = 304.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.