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Finding the Fourth Proportional to 265.15, 365.76 and 202.89

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Solution

The fourth proportional to 265.15, 365.76 and 202.89 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.15 : 365.76 = 202.89 : x
  2. Step 2: Convert to fraction form
    265.15/365.76 = 202.89/x
  3. Step 3: Cross multiply
    265.15x = 365.76 × 202.89
  4. Step 4: Simplify right side
    265.15x = 74,209.05
  5. Step 5: Solve for x
    x = 74,209.05/265.15
  6. Step 6: Final answer
    x = 279.88

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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.