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Finding the Fourth Proportional to 175, 262.36 and 102.73

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Solution

The fourth proportional to 175, 262.36 and 102.73 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175 : 262.36 = 102.73 : x
  2. Step 2: Convert to fraction form
    175/262.36 = 102.73/x
  3. Step 3: Cross multiply
    175x = 262.36 × 102.73
  4. Step 4: Simplify right side
    175x = 26,952.24
  5. Step 5: Solve for x
    x = 26,952.24/175
  6. Step 6: Final answer
    x = 154.01

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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.