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Finding the Fourth Proportional to 216.02, 322.51 and 214.49

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Solution

The fourth proportional to 216.02, 322.51 and 214.49 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 322.51 = 214.49 : x
  2. Step 2: Convert to fraction form
    216.02/322.51 = 214.49/x
  3. Step 3: Cross multiply
    216.02x = 322.51 × 214.49
  4. Step 4: Simplify right side
    216.02x = 69,175.17
  5. Step 5: Solve for x
    x = 69,175.17/216.02
  6. Step 6: Final answer
    x = 320.23

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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.