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Finding the Fourth Proportional to 232.16, 320.40 and 157.46

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Solution

The fourth proportional to 232.16, 320.40 and 157.46 is: 217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.16 : 320.40 = 157.46 : x
  2. Step 2: Convert to fraction form
    232.16/320.40 = 157.46/x
  3. Step 3: Cross multiply
    232.16x = 320.40 × 157.46
  4. Step 4: Simplify right side
    232.16x = 50,448.58
  5. Step 5: Solve for x
    x = 50,448.58/232.16
  6. Step 6: Final answer
    x = 217.31

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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.