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Finding the Fourth Proportional to 173.13, 238.87 and 117.77

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Solution

The fourth proportional to 173.13, 238.87 and 117.77 is: 162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.13 : 238.87 = 117.77 : x
  2. Step 2: Convert to fraction form
    173.13/238.87 = 117.77/x
  3. Step 3: Cross multiply
    173.13x = 238.87 × 117.77
  4. Step 4: Simplify right side
    173.13x = 28,132.02
  5. Step 5: Solve for x
    x = 28,132.02/173.13
  6. Step 6: Final answer
    x = 162.49

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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.