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Finding the Fourth Proportional to 150.84, 225.27 and 123.46

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Solution

The fourth proportional to 150.84, 225.27 and 123.46 is: 184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.84 : 225.27 = 123.46 : x
  2. Step 2: Convert to fraction form
    150.84/225.27 = 123.46/x
  3. Step 3: Cross multiply
    150.84x = 225.27 × 123.46
  4. Step 4: Simplify right side
    150.84x = 27,811.83
  5. Step 5: Solve for x
    x = 27,811.83/150.84
  6. Step 6: Final answer
    x = 184.38

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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.