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Finding the Fourth Proportional to 175.68, 241.76 and 162

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Solution

The fourth proportional to 175.68, 241.76 and 162 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.68 : 241.76 = 162 : x
  2. Step 2: Convert to fraction form
    175.68/241.76 = 162/x
  3. Step 3: Cross multiply
    175.68x = 241.76 × 162
  4. Step 4: Simplify right side
    175.68x = 39,164.31
  5. Step 5: Solve for x
    x = 39,164.31/175.68
  6. Step 6: Final answer
    x = 222.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.