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Finding the Fourth Proportional to 150.94, 225.53 and 116.04

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Solution

The fourth proportional to 150.94, 225.53 and 116.04 is: 173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 225.53 = 116.04 : x
  2. Step 2: Convert to fraction form
    150.94/225.53 = 116.04/x
  3. Step 3: Cross multiply
    150.94x = 225.53 × 116.04
  4. Step 4: Simplify right side
    150.94x = 26,170.50
  5. Step 5: Solve for x
    x = 26,170.50/150.94
  6. Step 6: Final answer
    x = 173.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.