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Finding the Fourth Proportional to 157.10, 234.24 and 154.37

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Solution

The fourth proportional to 157.10, 234.24 and 154.37 is: 230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.10 : 234.24 = 154.37 : x
  2. Step 2: Convert to fraction form
    157.10/234.24 = 154.37/x
  3. Step 3: Cross multiply
    157.10x = 234.24 × 154.37
  4. Step 4: Simplify right side
    157.10x = 36,158.46
  5. Step 5: Solve for x
    x = 36,158.46/157.10
  6. Step 6: Final answer
    x = 230.17

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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.