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Finding the Fourth Proportional to 157.40, 236.46 and 142.82

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Solution

The fourth proportional to 157.40, 236.46 and 142.82 is: 214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.40 : 236.46 = 142.82 : x
  2. Step 2: Convert to fraction form
    157.40/236.46 = 142.82/x
  3. Step 3: Cross multiply
    157.40x = 236.46 × 142.82
  4. Step 4: Simplify right side
    157.40x = 33,771.22
  5. Step 5: Solve for x
    x = 33,771.22/157.40
  6. Step 6: Final answer
    x = 214.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.