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Finding the Fourth Proportional to 174.04, 240.38 and 157.64

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Solution

The fourth proportional to 174.04, 240.38 and 157.64 is: 217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.04 : 240.38 = 157.64 : x
  2. Step 2: Convert to fraction form
    174.04/240.38 = 157.64/x
  3. Step 3: Cross multiply
    174.04x = 240.38 × 157.64
  4. Step 4: Simplify right side
    174.04x = 37,893.50
  5. Step 5: Solve for x
    x = 37,893.50/174.04
  6. Step 6: Final answer
    x = 217.73

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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.