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Finding the Fourth Proportional to 265.22, 365.95 and 154.63

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Solution

The fourth proportional to 265.22, 365.95 and 154.63 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 365.95 = 154.63 : x
  2. Step 2: Convert to fraction form
    265.22/365.95 = 154.63/x
  3. Step 3: Cross multiply
    265.22x = 365.95 × 154.63
  4. Step 4: Simplify right side
    265.22x = 56,586.08
  5. Step 5: Solve for x
    x = 56,586.08/265.22
  6. Step 6: Final answer
    x = 213.36

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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.