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Finding the Fourth Proportional to 154.36, 232.63 and 122.50

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Solution

The fourth proportional to 154.36, 232.63 and 122.50 is: 184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 232.63 = 122.50 : x
  2. Step 2: Convert to fraction form
    154.36/232.63 = 122.50/x
  3. Step 3: Cross multiply
    154.36x = 232.63 × 122.50
  4. Step 4: Simplify right side
    154.36x = 28,497.18
  5. Step 5: Solve for x
    x = 28,497.18/154.36
  6. Step 6: Final answer
    x = 184.62

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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.