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Finding the Fourth Proportional to 154.02, 232.41 and 154.02

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Solution

The fourth proportional to 154.02, 232.41 and 154.02 is: 232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 232.41 = 154.02 : x
  2. Step 2: Convert to fraction form
    154.02/232.41 = 154.02/x
  3. Step 3: Cross multiply
    154.02x = 232.41 × 154.02
  4. Step 4: Simplify right side
    154.02x = 35,795.79
  5. Step 5: Solve for x
    x = 35,795.79/154.02
  6. Step 6: Final answer
    x = 232.41

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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.