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Finding the Fourth Proportional to 158.14, 217.62 and 146.56

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Solution

The fourth proportional to 158.14, 217.62 and 146.56 is: 201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 217.62 = 146.56 : x
  2. Step 2: Convert to fraction form
    158.14/217.62 = 146.56/x
  3. Step 3: Cross multiply
    158.14x = 217.62 × 146.56
  4. Step 4: Simplify right side
    158.14x = 31,894.39
  5. Step 5: Solve for x
    x = 31,894.39/158.14
  6. Step 6: Final answer
    x = 201.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.