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Finding the Fourth Proportional to 159.10, 238.16 and 150.48

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Solution

The fourth proportional to 159.10, 238.16 and 150.48 is: 225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.10 : 238.16 = 150.48 : x
  2. Step 2: Convert to fraction form
    159.10/238.16 = 150.48/x
  3. Step 3: Cross multiply
    159.10x = 238.16 × 150.48
  4. Step 4: Simplify right side
    159.10x = 35,838.69
  5. Step 5: Solve for x
    x = 35,838.69/159.10
  6. Step 6: Final answer
    x = 225.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.