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Finding the Fourth Proportional to 265.85, 365.73 and 259.70

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Solution

The fourth proportional to 265.85, 365.73 and 259.70 is: 357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.85 : 365.73 = 259.70 : x
  2. Step 2: Convert to fraction form
    265.85/365.73 = 259.70/x
  3. Step 3: Cross multiply
    265.85x = 365.73 × 259.70
  4. Step 4: Simplify right side
    265.85x = 94,980.08
  5. Step 5: Solve for x
    x = 94,980.08/265.85
  6. Step 6: Final answer
    x = 357.28

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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.