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Finding the Fourth Proportional to 232.58, 320.93 and 139.29

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Solution

The fourth proportional to 232.58, 320.93 and 139.29 is: 192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.58 : 320.93 = 139.29 : x
  2. Step 2: Convert to fraction form
    232.58/320.93 = 139.29/x
  3. Step 3: Cross multiply
    232.58x = 320.93 × 139.29
  4. Step 4: Simplify right side
    232.58x = 44,702.34
  5. Step 5: Solve for x
    x = 44,702.34/232.58
  6. Step 6: Final answer
    x = 192.20

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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.