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Finding the Fourth Proportional to 216.09, 322.06 and 214.30

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Solution

The fourth proportional to 216.09, 322.06 and 214.30 is: 319.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 322.06 = 214.30 : x
  2. Step 2: Convert to fraction form
    216.09/322.06 = 214.30/x
  3. Step 3: Cross multiply
    216.09x = 322.06 × 214.30
  4. Step 4: Simplify right side
    216.09x = 69,017.46
  5. Step 5: Solve for x
    x = 69,017.46/216.09
  6. Step 6: Final answer
    x = 319.39

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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.