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Finding the Fourth Proportional to 635.32, 952.91 and 173.14

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Solution

The fourth proportional to 635.32, 952.91 and 173.14 is: 259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.32 : 952.91 = 173.14 : x
  2. Step 2: Convert to fraction form
    635.32/952.91 = 173.14/x
  3. Step 3: Cross multiply
    635.32x = 952.91 × 173.14
  4. Step 4: Simplify right side
    635.32x = 164,985.21
  5. Step 5: Solve for x
    x = 164,985.21/635.32
  6. Step 6: Final answer
    x = 259.69

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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.