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Finding the Fourth Proportional to 175.75, 242.67 and 139.10

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Solution

The fourth proportional to 175.75, 242.67 and 139.10 is: 192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.75 : 242.67 = 139.10 : x
  2. Step 2: Convert to fraction form
    175.75/242.67 = 139.10/x
  3. Step 3: Cross multiply
    175.75x = 242.67 × 139.10
  4. Step 4: Simplify right side
    175.75x = 33,754.79
  5. Step 5: Solve for x
    x = 33,754.79/175.75
  6. Step 6: Final answer
    x = 192.06

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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.