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Finding the Fourth Proportional to 216.42, 322.04 and 215.70

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Solution

The fourth proportional to 216.42, 322.04 and 215.70 is: 320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 322.04 = 215.70 : x
  2. Step 2: Convert to fraction form
    216.42/322.04 = 215.70/x
  3. Step 3: Cross multiply
    216.42x = 322.04 × 215.70
  4. Step 4: Simplify right side
    216.42x = 69,464.03
  5. Step 5: Solve for x
    x = 69,464.03/216.42
  6. Step 6: Final answer
    x = 320.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.