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Finding the Fourth Proportional to 178.94, 268.07 and 150.23

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Solution

The fourth proportional to 178.94, 268.07 and 150.23 is: 225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.94 : 268.07 = 150.23 : x
  2. Step 2: Convert to fraction form
    178.94/268.07 = 150.23/x
  3. Step 3: Cross multiply
    178.94x = 268.07 × 150.23
  4. Step 4: Simplify right side
    178.94x = 40,272.08
  5. Step 5: Solve for x
    x = 40,272.08/178.94
  6. Step 6: Final answer
    x = 225.06

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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.