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Finding the Fourth Proportional to 365.79, 548.63 and 102.26

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Solution

The fourth proportional to 365.79, 548.63 and 102.26 is: 153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.79 : 548.63 = 102.26 : x
  2. Step 2: Convert to fraction form
    365.79/548.63 = 102.26/x
  3. Step 3: Cross multiply
    365.79x = 548.63 × 102.26
  4. Step 4: Simplify right side
    365.79x = 56,102.47
  5. Step 5: Solve for x
    x = 56,102.47/365.79
  6. Step 6: Final answer
    x = 153.38

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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.