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Finding the Fourth Proportional to 365.33, 548.28 and 268.10

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Solution

The fourth proportional to 365.33, 548.28 and 268.10 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.33 : 548.28 = 268.10 : x
  2. Step 2: Convert to fraction form
    365.33/548.28 = 268.10/x
  3. Step 3: Cross multiply
    365.33x = 548.28 × 268.10
  4. Step 4: Simplify right side
    365.33x = 146,991.13
  5. Step 5: Solve for x
    x = 146,991.13/365.33
  6. Step 6: Final answer
    x = 402.35

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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.