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Finding the Fourth Proportional to 268.48, 400.53 and 265.02

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Solution

The fourth proportional to 268.48, 400.53 and 265.02 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.48 : 400.53 = 265.02 : x
  2. Step 2: Convert to fraction form
    268.48/400.53 = 265.02/x
  3. Step 3: Cross multiply
    268.48x = 400.53 × 265.02
  4. Step 4: Simplify right side
    268.48x = 106,149.83
  5. Step 5: Solve for x
    x = 106,149.83/268.48
  6. Step 6: Final answer
    x = 395.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.