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Finding the Fourth Proportional to 157.32, 234.72 and 143.82

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Solution

The fourth proportional to 157.32, 234.72 and 143.82 is: 214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.32 : 234.72 = 143.82 : x
  2. Step 2: Convert to fraction form
    157.32/234.72 = 143.82/x
  3. Step 3: Cross multiply
    157.32x = 234.72 × 143.82
  4. Step 4: Simplify right side
    157.32x = 33,757.43
  5. Step 5: Solve for x
    x = 33,757.43/157.32
  6. Step 6: Final answer
    x = 214.58

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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.