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Finding the Fourth Proportional to 215.17, 322.21 and 180.75

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Solution

The fourth proportional to 215.17, 322.21 and 180.75 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.17 : 322.21 = 180.75 : x
  2. Step 2: Convert to fraction form
    215.17/322.21 = 180.75/x
  3. Step 3: Cross multiply
    215.17x = 322.21 × 180.75
  4. Step 4: Simplify right side
    215.17x = 58,239.46
  5. Step 5: Solve for x
    x = 58,239.46/215.17
  6. Step 6: Final answer
    x = 270.67

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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.