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Finding the Fourth Proportional to 272.53, 375.82 and 210.21

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Solution

The fourth proportional to 272.53, 375.82 and 210.21 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.53 : 375.82 = 210.21 : x
  2. Step 2: Convert to fraction form
    272.53/375.82 = 210.21/x
  3. Step 3: Cross multiply
    272.53x = 375.82 × 210.21
  4. Step 4: Simplify right side
    272.53x = 79,001.12
  5. Step 5: Solve for x
    x = 79,001.12/272.53
  6. Step 6: Final answer
    x = 289.88

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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.