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Finding the Fourth Proportional to 154.88, 213.89 and 116.00

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Solution

The fourth proportional to 154.88, 213.89 and 116.00 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.88 : 213.89 = 116.00 : x
  2. Step 2: Convert to fraction form
    154.88/213.89 = 116.00/x
  3. Step 3: Cross multiply
    154.88x = 213.89 × 116.00
  4. Step 4: Simplify right side
    154.88x = 24,809.59
  5. Step 5: Solve for x
    x = 24,809.59/154.88
  6. Step 6: Final answer
    x = 160.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.