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Finding the Fourth Proportional to 172.62, 238.18 and 135.76

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Solution

The fourth proportional to 172.62, 238.18 and 135.76 is: 187.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.62 : 238.18 = 135.76 : x
  2. Step 2: Convert to fraction form
    172.62/238.18 = 135.76/x
  3. Step 3: Cross multiply
    172.62x = 238.18 × 135.76
  4. Step 4: Simplify right side
    172.62x = 32,335.32
  5. Step 5: Solve for x
    x = 32,335.32/172.62
  6. Step 6: Final answer
    x = 187.32

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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.