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Finding the Fourth Proportional to 159.68, 238.06 and 147.64

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Solution

The fourth proportional to 159.68, 238.06 and 147.64 is: 220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.68 : 238.06 = 147.64 : x
  2. Step 2: Convert to fraction form
    159.68/238.06 = 147.64/x
  3. Step 3: Cross multiply
    159.68x = 238.06 × 147.64
  4. Step 4: Simplify right side
    159.68x = 35,147.18
  5. Step 5: Solve for x
    x = 35,147.18/159.68
  6. Step 6: Final answer
    x = 220.11

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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.