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Finding the Fourth Proportional to 175.43, 262.58 and 173.00

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Solution

The fourth proportional to 175.43, 262.58 and 173.00 is: 258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.43 : 262.58 = 173.00 : x
  2. Step 2: Convert to fraction form
    175.43/262.58 = 173.00/x
  3. Step 3: Cross multiply
    175.43x = 262.58 × 173.00
  4. Step 4: Simplify right side
    175.43x = 45,424.16
  5. Step 5: Solve for x
    x = 45,424.16/175.43
  6. Step 6: Final answer
    x = 258.94

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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.