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Finding the Fourth Proportional to 232.51, 320.69 and 149.70

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Solution

The fourth proportional to 232.51, 320.69 and 149.70 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.51 : 320.69 = 149.70 : x
  2. Step 2: Convert to fraction form
    232.51/320.69 = 149.70/x
  3. Step 3: Cross multiply
    232.51x = 320.69 × 149.70
  4. Step 4: Simplify right side
    232.51x = 48,005.32
  5. Step 5: Solve for x
    x = 48,005.32/232.51
  6. Step 6: Final answer
    x = 206.47

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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.