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Finding the Fourth Proportional to 365.26, 547.62 and 173.02

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Solution

The fourth proportional to 365.26, 547.62 and 173.02 is: 259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.26 : 547.62 = 173.02 : x
  2. Step 2: Convert to fraction form
    365.26/547.62 = 173.02/x
  3. Step 3: Cross multiply
    365.26x = 547.62 × 173.02
  4. Step 4: Simplify right side
    365.26x = 94,749.21
  5. Step 5: Solve for x
    x = 94,749.21/365.26
  6. Step 6: Final answer
    x = 259.40

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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.