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Finding the Fourth Proportional to 157.92, 235.37 and 154.88

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Solution

The fourth proportional to 157.92, 235.37 and 154.88 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.92 : 235.37 = 154.88 : x
  2. Step 2: Convert to fraction form
    157.92/235.37 = 154.88/x
  3. Step 3: Cross multiply
    157.92x = 235.37 × 154.88
  4. Step 4: Simplify right side
    157.92x = 36,453.13
  5. Step 5: Solve for x
    x = 36,453.13/157.92
  6. Step 6: Final answer
    x = 230.84

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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.