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Finding the Fourth Proportional to 174.12, 259.77 and 158.40

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Solution

The fourth proportional to 174.12, 259.77 and 158.40 is: 236.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.12 : 259.77 = 158.40 : x
  2. Step 2: Convert to fraction form
    174.12/259.77 = 158.40/x
  3. Step 3: Cross multiply
    174.12x = 259.77 × 158.40
  4. Step 4: Simplify right side
    174.12x = 41,147.57
  5. Step 5: Solve for x
    x = 41,147.57/174.12
  6. Step 6: Final answer
    x = 236.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.