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Finding the Fourth Proportional to 233.64, 321.71 and 206.01

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Solution

The fourth proportional to 233.64, 321.71 and 206.01 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 321.71 = 206.01 : x
  2. Step 2: Convert to fraction form
    233.64/321.71 = 206.01/x
  3. Step 3: Cross multiply
    233.64x = 321.71 × 206.01
  4. Step 4: Simplify right side
    233.64x = 66,274.45
  5. Step 5: Solve for x
    x = 66,274.45/233.64
  6. Step 6: Final answer
    x = 283.66

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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.