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Finding the Fourth Proportional to 265.86, 398.64 and 144.09

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Solution

The fourth proportional to 265.86, 398.64 and 144.09 is: 216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 398.64 = 144.09 : x
  2. Step 2: Convert to fraction form
    265.86/398.64 = 144.09/x
  3. Step 3: Cross multiply
    265.86x = 398.64 × 144.09
  4. Step 4: Simplify right side
    265.86x = 57,440.04
  5. Step 5: Solve for x
    x = 57,440.04/265.86
  6. Step 6: Final answer
    x = 216.05

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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.