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Finding the Fourth Proportional to 159.63, 238.35 and 149.30

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Solution

The fourth proportional to 159.63, 238.35 and 149.30 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.63 : 238.35 = 149.30 : x
  2. Step 2: Convert to fraction form
    159.63/238.35 = 149.30/x
  3. Step 3: Cross multiply
    159.63x = 238.35 × 149.30
  4. Step 4: Simplify right side
    159.63x = 35,585.66
  5. Step 5: Solve for x
    x = 35,585.66/159.63
  6. Step 6: Final answer
    x = 222.93

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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.