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Finding the Fourth Proportional to 175.85, 242.69 and 110.37

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Solution

The fourth proportional to 175.85, 242.69 and 110.37 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.85 : 242.69 = 110.37 : x
  2. Step 2: Convert to fraction form
    175.85/242.69 = 110.37/x
  3. Step 3: Cross multiply
    175.85x = 242.69 × 110.37
  4. Step 4: Simplify right side
    175.85x = 26,785.70
  5. Step 5: Solve for x
    x = 26,785.70/175.85
  6. Step 6: Final answer
    x = 152.32

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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.