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Finding the Fourth Proportional to 157.43, 234.29 and 152.24

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Solution

The fourth proportional to 157.43, 234.29 and 152.24 is: 226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.43 : 234.29 = 152.24 : x
  2. Step 2: Convert to fraction form
    157.43/234.29 = 152.24/x
  3. Step 3: Cross multiply
    157.43x = 234.29 × 152.24
  4. Step 4: Simplify right side
    157.43x = 35,668.31
  5. Step 5: Solve for x
    x = 35,668.31/157.43
  6. Step 6: Final answer
    x = 226.57

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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.