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Finding the Fourth Proportional to 158.21, 216.46 and 157.61

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Solution

The fourth proportional to 158.21, 216.46 and 157.61 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.21 : 216.46 = 157.61 : x
  2. Step 2: Convert to fraction form
    158.21/216.46 = 157.61/x
  3. Step 3: Cross multiply
    158.21x = 216.46 × 157.61
  4. Step 4: Simplify right side
    158.21x = 34,116.26
  5. Step 5: Solve for x
    x = 34,116.26/158.21
  6. Step 6: Final answer
    x = 215.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.