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Finding the Fourth Proportional to 159.20, 238.78 and 51.01

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Solution

The fourth proportional to 159.20, 238.78 and 51.01 is: 76.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.20 : 238.78 = 51.01 : x
  2. Step 2: Convert to fraction form
    159.20/238.78 = 51.01/x
  3. Step 3: Cross multiply
    159.20x = 238.78 × 51.01
  4. Step 4: Simplify right side
    159.20x = 12,180.17
  5. Step 5: Solve for x
    x = 12,180.17/159.20
  6. Step 6: Final answer
    x = 76.51

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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.