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Finding the Fourth Proportional to 365.55, 548.34 and 268.17

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Solution

The fourth proportional to 365.55, 548.34 and 268.17 is: 402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.55 : 548.34 = 268.17 : x
  2. Step 2: Convert to fraction form
    365.55/548.34 = 268.17/x
  3. Step 3: Cross multiply
    365.55x = 548.34 × 268.17
  4. Step 4: Simplify right side
    365.55x = 147,048.34
  5. Step 5: Solve for x
    x = 147,048.34/365.55
  6. Step 6: Final answer
    x = 402.27

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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.