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Finding the Fourth Proportional to 174.03, 259.45 and 165.83

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Solution

The fourth proportional to 174.03, 259.45 and 165.83 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.03 : 259.45 = 165.83 : x
  2. Step 2: Convert to fraction form
    174.03/259.45 = 165.83/x
  3. Step 3: Cross multiply
    174.03x = 259.45 × 165.83
  4. Step 4: Simplify right side
    174.03x = 43,025.02
  5. Step 5: Solve for x
    x = 43,025.02/174.03
  6. Step 6: Final answer
    x = 247.22

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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.