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Finding the Fourth Proportional to 159.98, 238.65 and 146.21

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Solution

The fourth proportional to 159.98, 238.65 and 146.21 is: 218.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 238.65 = 146.21 : x
  2. Step 2: Convert to fraction form
    159.98/238.65 = 146.21/x
  3. Step 3: Cross multiply
    159.98x = 238.65 × 146.21
  4. Step 4: Simplify right side
    159.98x = 34,891.27
  5. Step 5: Solve for x
    x = 34,891.27/159.98
  6. Step 6: Final answer
    x = 218.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.