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Finding the Fourth Proportional to 234.83, 351.57 and 210.13

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Solution

The fourth proportional to 234.83, 351.57 and 210.13 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.83 : 351.57 = 210.13 : x
  2. Step 2: Convert to fraction form
    234.83/351.57 = 210.13/x
  3. Step 3: Cross multiply
    234.83x = 351.57 × 210.13
  4. Step 4: Simplify right side
    234.83x = 73,875.40
  5. Step 5: Solve for x
    x = 73,875.40/234.83
  6. Step 6: Final answer
    x = 314.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.