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Finding the Fourth Proportional to 173.94, 259.91 and 132.58

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Solution

The fourth proportional to 173.94, 259.91 and 132.58 is: 198.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.94 : 259.91 = 132.58 : x
  2. Step 2: Convert to fraction form
    173.94/259.91 = 132.58/x
  3. Step 3: Cross multiply
    173.94x = 259.91 × 132.58
  4. Step 4: Simplify right side
    173.94x = 34,457.57
  5. Step 5: Solve for x
    x = 34,457.57/173.94
  6. Step 6: Final answer
    x = 198.10

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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.