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Finding the Fourth Proportional to 173.80, 240.08 and 139.08

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Solution

The fourth proportional to 173.80, 240.08 and 139.08 is: 192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.80 : 240.08 = 139.08 : x
  2. Step 2: Convert to fraction form
    173.80/240.08 = 139.08/x
  3. Step 3: Cross multiply
    173.80x = 240.08 × 139.08
  4. Step 4: Simplify right side
    173.80x = 33,390.67
  5. Step 5: Solve for x
    x = 33,390.67/173.80
  6. Step 6: Final answer
    x = 192.12

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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.