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Finding the Fourth Proportional to 159.35, 238.89 and 135.14

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Solution

The fourth proportional to 159.35, 238.89 and 135.14 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.35 : 238.89 = 135.14 : x
  2. Step 2: Convert to fraction form
    159.35/238.89 = 135.14/x
  3. Step 3: Cross multiply
    159.35x = 238.89 × 135.14
  4. Step 4: Simplify right side
    159.35x = 32,282.40
  5. Step 5: Solve for x
    x = 32,282.40/159.35
  6. Step 6: Final answer
    x = 202.58

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Why These Related Problems?

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