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Finding the Fourth Proportional to 155.94, 233.84 and 130.43

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Solution

The fourth proportional to 155.94, 233.84 and 130.43 is: 195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.94 : 233.84 = 130.43 : x
  2. Step 2: Convert to fraction form
    155.94/233.84 = 130.43/x
  3. Step 3: Cross multiply
    155.94x = 233.84 × 130.43
  4. Step 4: Simplify right side
    155.94x = 30,497.93
  5. Step 5: Solve for x
    x = 30,497.93/155.94
  6. Step 6: Final answer
    x = 195.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.