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Finding the Fourth Proportional to 174.98, 263.43 and 160.10

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Solution

The fourth proportional to 174.98, 263.43 and 160.10 is: 241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.98 : 263.43 = 160.10 : x
  2. Step 2: Convert to fraction form
    174.98/263.43 = 160.10/x
  3. Step 3: Cross multiply
    174.98x = 263.43 × 160.10
  4. Step 4: Simplify right side
    174.98x = 42,175.14
  5. Step 5: Solve for x
    x = 42,175.14/174.98
  6. Step 6: Final answer
    x = 241.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.