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Finding the Fourth Proportional to 233.18, 322.08 and 205.64

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Solution

The fourth proportional to 233.18, 322.08 and 205.64 is: 284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.18 : 322.08 = 205.64 : x
  2. Step 2: Convert to fraction form
    233.18/322.08 = 205.64/x
  3. Step 3: Cross multiply
    233.18x = 322.08 × 205.64
  4. Step 4: Simplify right side
    233.18x = 66,232.53
  5. Step 5: Solve for x
    x = 66,232.53/233.18
  6. Step 6: Final answer
    x = 284.04

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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.