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Finding the Fourth Proportional to 142.82, 214.46 and 118.82

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Solution

The fourth proportional to 142.82, 214.46 and 118.82 is: 178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 214.46 = 118.82 : x
  2. Step 2: Convert to fraction form
    142.82/214.46 = 118.82/x
  3. Step 3: Cross multiply
    142.82x = 214.46 × 118.82
  4. Step 4: Simplify right side
    142.82x = 25,482.14
  5. Step 5: Solve for x
    x = 25,482.14/142.82
  6. Step 6: Final answer
    x = 178.42

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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.