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Finding the Fourth Proportional to 154.67, 230.51 and 153.39

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Solution

The fourth proportional to 154.67, 230.51 and 153.39 is: 228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.67 : 230.51 = 153.39 : x
  2. Step 2: Convert to fraction form
    154.67/230.51 = 153.39/x
  3. Step 3: Cross multiply
    154.67x = 230.51 × 153.39
  4. Step 4: Simplify right side
    154.67x = 35,358.31
  5. Step 5: Solve for x
    x = 35,358.31/154.67
  6. Step 6: Final answer
    x = 228.61

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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.