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Finding the Fourth Proportional to 173.09, 238.58 and 135.68

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Solution

The fourth proportional to 173.09, 238.58 and 135.68 is: 187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.09 : 238.58 = 135.68 : x
  2. Step 2: Convert to fraction form
    173.09/238.58 = 135.68/x
  3. Step 3: Cross multiply
    173.09x = 238.58 × 135.68
  4. Step 4: Simplify right side
    173.09x = 32,369.00
  5. Step 5: Solve for x
    x = 32,369.00/173.09
  6. Step 6: Final answer
    x = 187.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.