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Finding the Fourth Proportional to 157.92, 235.38 and 154.46

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Solution

The fourth proportional to 157.92, 235.38 and 154.46 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.92 : 235.38 = 154.46 : x
  2. Step 2: Convert to fraction form
    157.92/235.38 = 154.46/x
  3. Step 3: Cross multiply
    157.92x = 235.38 × 154.46
  4. Step 4: Simplify right side
    157.92x = 36,355.62
  5. Step 5: Solve for x
    x = 36,355.62/157.92
  6. Step 6: Final answer
    x = 230.22

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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.