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Finding the Fourth Proportional to 264.95, 365.69 and 202.69

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Solution

The fourth proportional to 264.95, 365.69 and 202.69 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.95 : 365.69 = 202.69 : x
  2. Step 2: Convert to fraction form
    264.95/365.69 = 202.69/x
  3. Step 3: Cross multiply
    264.95x = 365.69 × 202.69
  4. Step 4: Simplify right side
    264.95x = 74,121.71
  5. Step 5: Solve for x
    x = 74,121.71/264.95
  6. Step 6: Final answer
    x = 279.76

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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.