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Finding the Fourth Proportional to 159.98, 220.50 and 110.75

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Solution

The fourth proportional to 159.98, 220.50 and 110.75 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.98 : 220.50 = 110.75 : x
  2. Step 2: Convert to fraction form
    159.98/220.50 = 110.75/x
  3. Step 3: Cross multiply
    159.98x = 220.50 × 110.75
  4. Step 4: Simplify right side
    159.98x = 24,419.27
  5. Step 5: Solve for x
    x = 24,419.27/159.98
  6. Step 6: Final answer
    x = 152.64

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Why These Related Problems?

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