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Finding the Fourth Proportional to 173.14, 259.31 and 150.50

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Solution

The fourth proportional to 173.14, 259.31 and 150.50 is: 225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 259.31 = 150.50 : x
  2. Step 2: Convert to fraction form
    173.14/259.31 = 150.50/x
  3. Step 3: Cross multiply
    173.14x = 259.31 × 150.50
  4. Step 4: Simplify right side
    173.14x = 39,026.16
  5. Step 5: Solve for x
    x = 39,026.16/173.14
  6. Step 6: Final answer
    x = 225.40

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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.