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Finding the Fourth Proportional to 158.87, 218.84 and 146.58

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Solution

The fourth proportional to 158.87, 218.84 and 146.58 is: 201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.87 : 218.84 = 146.58 : x
  2. Step 2: Convert to fraction form
    158.87/218.84 = 146.58/x
  3. Step 3: Cross multiply
    158.87x = 218.84 × 146.58
  4. Step 4: Simplify right side
    158.87x = 32,076.83
  5. Step 5: Solve for x
    x = 32,076.83/158.87
  6. Step 6: Final answer
    x = 201.91

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