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Finding the Fourth Proportional to 232.68, 320.98 and 139.36

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Solution

The fourth proportional to 232.68, 320.98 and 139.36 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.68 : 320.98 = 139.36 : x
  2. Step 2: Convert to fraction form
    232.68/320.98 = 139.36/x
  3. Step 3: Cross multiply
    232.68x = 320.98 × 139.36
  4. Step 4: Simplify right side
    232.68x = 44,731.77
  5. Step 5: Solve for x
    x = 44,731.77/232.68
  6. Step 6: Final answer
    x = 192.25

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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.