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Finding the Fourth Proportional to 173.49, 259.95 and 104.93

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Solution

The fourth proportional to 173.49, 259.95 and 104.93 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.49 : 259.95 = 104.93 : x
  2. Step 2: Convert to fraction form
    173.49/259.95 = 104.93/x
  3. Step 3: Cross multiply
    173.49x = 259.95 × 104.93
  4. Step 4: Simplify right side
    173.49x = 27,275.25
  5. Step 5: Solve for x
    x = 27,275.25/173.49
  6. Step 6: Final answer
    x = 157.22

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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.