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Finding the Fourth Proportional to 147.82, 222.82 and 141.64

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Solution

The fourth proportional to 147.82, 222.82 and 141.64 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 222.82 = 141.64 : x
  2. Step 2: Convert to fraction form
    147.82/222.82 = 141.64/x
  3. Step 3: Cross multiply
    147.82x = 222.82 × 141.64
  4. Step 4: Simplify right side
    147.82x = 31,559.31
  5. Step 5: Solve for x
    x = 31,559.31/147.82
  6. Step 6: Final answer
    x = 213.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.