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Finding the Fourth Proportional to 173.85, 259.25 and 152.28

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Solution

The fourth proportional to 173.85, 259.25 and 152.28 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.85 : 259.25 = 152.28 : x
  2. Step 2: Convert to fraction form
    173.85/259.25 = 152.28/x
  3. Step 3: Cross multiply
    173.85x = 259.25 × 152.28
  4. Step 4: Simplify right side
    173.85x = 39,478.69
  5. Step 5: Solve for x
    x = 39,478.69/173.85
  6. Step 6: Final answer
    x = 227.09

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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.