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Finding the Fourth Proportional to 233.82, 322.45 and 206.21

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Solution

The fourth proportional to 233.82, 322.45 and 206.21 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 322.45 = 206.21 : x
  2. Step 2: Convert to fraction form
    233.82/322.45 = 206.21/x
  3. Step 3: Cross multiply
    233.82x = 322.45 × 206.21
  4. Step 4: Simplify right side
    233.82x = 66,492.71
  5. Step 5: Solve for x
    x = 66,492.71/233.82
  6. Step 6: Final answer
    x = 284.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.