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Finding the Fourth Proportional to 159.20, 238.77 and 78.02

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Solution

The fourth proportional to 159.20, 238.77 and 78.02 is: 117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.20 : 238.77 = 78.02 : x
  2. Step 2: Convert to fraction form
    159.20/238.77 = 78.02/x
  3. Step 3: Cross multiply
    159.20x = 238.77 × 78.02
  4. Step 4: Simplify right side
    159.20x = 18,627.25
  5. Step 5: Solve for x
    x = 18,627.25/159.20
  6. Step 6: Final answer
    x = 117.01

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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.