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Finding the Fourth Proportional to 155.88, 234.74 and 135.83

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Solution

The fourth proportional to 155.88, 234.74 and 135.83 is: 204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.88 : 234.74 = 135.83 : x
  2. Step 2: Convert to fraction form
    155.88/234.74 = 135.83/x
  3. Step 3: Cross multiply
    155.88x = 234.74 × 135.83
  4. Step 4: Simplify right side
    155.88x = 31,882.88
  5. Step 5: Solve for x
    x = 31,882.88/155.88
  6. Step 6: Final answer
    x = 204.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.