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Finding the Fourth Proportional to 265.12, 365.64 and 199.50

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Solution

The fourth proportional to 265.12, 365.64 and 199.50 is: 275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.12 : 365.64 = 199.50 : x
  2. Step 2: Convert to fraction form
    265.12/365.64 = 199.50/x
  3. Step 3: Cross multiply
    265.12x = 365.64 × 199.50
  4. Step 4: Simplify right side
    265.12x = 72,945.18
  5. Step 5: Solve for x
    x = 72,945.18/265.12
  6. Step 6: Final answer
    x = 275.14

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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.