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Finding the Fourth Proportional to 154.37, 231.56 and 122.51

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Solution

The fourth proportional to 154.37, 231.56 and 122.51 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 231.56 = 122.51 : x
  2. Step 2: Convert to fraction form
    154.37/231.56 = 122.51/x
  3. Step 3: Cross multiply
    154.37x = 231.56 × 122.51
  4. Step 4: Simplify right side
    154.37x = 28,368.42
  5. Step 5: Solve for x
    x = 28,368.42/154.37
  6. Step 6: Final answer
    x = 183.77

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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.