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Finding the Fourth Proportional to 159.99, 238.34 and 152.25

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Solution

The fourth proportional to 159.99, 238.34 and 152.25 is: 226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.99 : 238.34 = 152.25 : x
  2. Step 2: Convert to fraction form
    159.99/238.34 = 152.25/x
  3. Step 3: Cross multiply
    159.99x = 238.34 × 152.25
  4. Step 4: Simplify right side
    159.99x = 36,286.75
  5. Step 5: Solve for x
    x = 36,286.75/159.99
  6. Step 6: Final answer
    x = 226.81

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Why These Related Problems?

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