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Finding the Fourth Proportional to 265.00, 365.61 and 154.46

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Solution

The fourth proportional to 265.00, 365.61 and 154.46 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.00 : 365.61 = 154.46 : x
  2. Step 2: Convert to fraction form
    265.00/365.61 = 154.46/x
  3. Step 3: Cross multiply
    265.00x = 365.61 × 154.46
  4. Step 4: Simplify right side
    265.00x = 56,471.56
  5. Step 5: Solve for x
    x = 56,471.56/265.00
  6. Step 6: Final answer
    x = 213.10

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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.