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Finding the Fourth Proportional to 173.10, 259.83 and 142.77

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Solution

The fourth proportional to 173.10, 259.83 and 142.77 is: 214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.10 : 259.83 = 142.77 : x
  2. Step 2: Convert to fraction form
    173.10/259.83 = 142.77/x
  3. Step 3: Cross multiply
    173.10x = 259.83 × 142.77
  4. Step 4: Simplify right side
    173.10x = 37,095.93
  5. Step 5: Solve for x
    x = 37,095.93/173.10
  6. Step 6: Final answer
    x = 214.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.