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Finding the Fourth Proportional to 159, 238.50 and 45

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Solution

The fourth proportional to 159, 238.50 and 45 is: 67.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159 : 238.50 = 45 : x
  2. Step 2: Convert to fraction form
    159/238.50 = 45/x
  3. Step 3: Cross multiply
    159x = 238.50 × 45
  4. Step 4: Simplify right side
    159x = 10,732.50
  5. Step 5: Solve for x
    x = 10,732.50/159
  6. Step 6: Final answer
    x = 67.50

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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.