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Finding the Fourth Proportional to 157.24, 234.29 and 148.43

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Solution

The fourth proportional to 157.24, 234.29 and 148.43 is: 221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.24 : 234.29 = 148.43 : x
  2. Step 2: Convert to fraction form
    157.24/234.29 = 148.43/x
  3. Step 3: Cross multiply
    157.24x = 234.29 × 148.43
  4. Step 4: Simplify right side
    157.24x = 34,776.62
  5. Step 5: Solve for x
    x = 34,776.62/157.24
  6. Step 6: Final answer
    x = 221.17

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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.