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Finding the Fourth Proportional to 174.02, 259.77 and 143.24

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Solution

The fourth proportional to 174.02, 259.77 and 143.24 is: 213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 259.77 = 143.24 : x
  2. Step 2: Convert to fraction form
    174.02/259.77 = 143.24/x
  3. Step 3: Cross multiply
    174.02x = 259.77 × 143.24
  4. Step 4: Simplify right side
    174.02x = 37,208.69
  5. Step 5: Solve for x
    x = 37,208.69/174.02
  6. Step 6: Final answer
    x = 213.82

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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.