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Finding the Fourth Proportional to 175.90, 240.93 and 165.93

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Solution

The fourth proportional to 175.90, 240.93 and 165.93 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.90 : 240.93 = 165.93 : x
  2. Step 2: Convert to fraction form
    175.90/240.93 = 165.93/x
  3. Step 3: Cross multiply
    175.90x = 240.93 × 165.93
  4. Step 4: Simplify right side
    175.90x = 39,976.69
  5. Step 5: Solve for x
    x = 39,976.69/175.90
  6. Step 6: Final answer
    x = 227.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.