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Finding the Fourth Proportional to 154.58, 230.74 and 123.86

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Solution

The fourth proportional to 154.58, 230.74 and 123.86 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.58 : 230.74 = 123.86 : x
  2. Step 2: Convert to fraction form
    154.58/230.74 = 123.86/x
  3. Step 3: Cross multiply
    154.58x = 230.74 × 123.86
  4. Step 4: Simplify right side
    154.58x = 28,579.46
  5. Step 5: Solve for x
    x = 28,579.46/154.58
  6. Step 6: Final answer
    x = 184.88

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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.