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Finding the Fourth Proportional to 265.63, 398.44 and 162.81

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Solution

The fourth proportional to 265.63, 398.44 and 162.81 is: 244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.63 : 398.44 = 162.81 : x
  2. Step 2: Convert to fraction form
    265.63/398.44 = 162.81/x
  3. Step 3: Cross multiply
    265.63x = 398.44 × 162.81
  4. Step 4: Simplify right side
    265.63x = 64,870.68
  5. Step 5: Solve for x
    x = 64,870.68/265.63
  6. Step 6: Final answer
    x = 244.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.