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Finding the Fourth Proportional to 265.16, 368.43 and 262.31

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Solution

The fourth proportional to 265.16, 368.43 and 262.31 is: 364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.16 : 368.43 = 262.31 : x
  2. Step 2: Convert to fraction form
    265.16/368.43 = 262.31/x
  3. Step 3: Cross multiply
    265.16x = 368.43 × 262.31
  4. Step 4: Simplify right side
    265.16x = 96,641.52
  5. Step 5: Solve for x
    x = 96,641.52/265.16
  6. Step 6: Final answer
    x = 364.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.