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Finding the Fourth Proportional to 215.26, 322.64 and 106.80

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Solution

The fourth proportional to 215.26, 322.64 and 106.80 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.26 : 322.64 = 106.80 : x
  2. Step 2: Convert to fraction form
    215.26/322.64 = 106.80/x
  3. Step 3: Cross multiply
    215.26x = 322.64 × 106.80
  4. Step 4: Simplify right side
    215.26x = 34,457.95
  5. Step 5: Solve for x
    x = 34,457.95/215.26
  6. Step 6: Final answer
    x = 160.08

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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.