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Finding the Fourth Proportional to 365.97, 549.32 and 250.59

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Solution

The fourth proportional to 365.97, 549.32 and 250.59 is: 376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.97 : 549.32 = 250.59 : x
  2. Step 2: Convert to fraction form
    365.97/549.32 = 250.59/x
  3. Step 3: Cross multiply
    365.97x = 549.32 × 250.59
  4. Step 4: Simplify right side
    365.97x = 137,654.10
  5. Step 5: Solve for x
    x = 137,654.10/365.97
  6. Step 6: Final answer
    x = 376.13

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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.