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Finding the Fourth Proportional to 158.64, 238.00 and 76.40

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Solution

The fourth proportional to 158.64, 238.00 and 76.40 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.64 : 238.00 = 76.40 : x
  2. Step 2: Convert to fraction form
    158.64/238.00 = 76.40/x
  3. Step 3: Cross multiply
    158.64x = 238.00 × 76.40
  4. Step 4: Simplify right side
    158.64x = 18,183.41
  5. Step 5: Solve for x
    x = 18,183.41/158.64
  6. Step 6: Final answer
    x = 114.62

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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.