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Finding the Fourth Proportional to 272.84, 409.19 and 97.13

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Solution

The fourth proportional to 272.84, 409.19 and 97.13 is: 145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.84 : 409.19 = 97.13 : x
  2. Step 2: Convert to fraction form
    272.84/409.19 = 97.13/x
  3. Step 3: Cross multiply
    272.84x = 409.19 × 97.13
  4. Step 4: Simplify right side
    272.84x = 39,745.16
  5. Step 5: Solve for x
    x = 39,745.16/272.84
  6. Step 6: Final answer
    x = 145.67

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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.