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Finding the Fourth Proportional to 232.44, 320.81 and 210.06

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Solution

The fourth proportional to 232.44, 320.81 and 210.06 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.44 : 320.81 = 210.06 : x
  2. Step 2: Convert to fraction form
    232.44/320.81 = 210.06/x
  3. Step 3: Cross multiply
    232.44x = 320.81 × 210.06
  4. Step 4: Simplify right side
    232.44x = 67,389.48
  5. Step 5: Solve for x
    x = 67,389.48/232.44
  6. Step 6: Final answer
    x = 289.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.