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Finding the Fourth Proportional to 175.23, 241.83 and 157.41

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Solution

The fourth proportional to 175.23, 241.83 and 157.41 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.23 : 241.83 = 157.41 : x
  2. Step 2: Convert to fraction form
    175.23/241.83 = 157.41/x
  3. Step 3: Cross multiply
    175.23x = 241.83 × 157.41
  4. Step 4: Simplify right side
    175.23x = 38,066.46
  5. Step 5: Solve for x
    x = 38,066.46/175.23
  6. Step 6: Final answer
    x = 217.24

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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.