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Finding the Fourth Proportional to 272.58, 409.10 and 142.67

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Solution

The fourth proportional to 272.58, 409.10 and 142.67 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.58 : 409.10 = 142.67 : x
  2. Step 2: Convert to fraction form
    272.58/409.10 = 142.67/x
  3. Step 3: Cross multiply
    272.58x = 409.10 × 142.67
  4. Step 4: Simplify right side
    272.58x = 58,366.30
  5. Step 5: Solve for x
    x = 58,366.30/272.58
  6. Step 6: Final answer
    x = 214.13

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Why These Related Problems?

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