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Finding the Fourth Proportional to 233.28, 351.20 and 182.59

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Solution

The fourth proportional to 233.28, 351.20 and 182.59 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.28 : 351.20 = 182.59 : x
  2. Step 2: Convert to fraction form
    233.28/351.20 = 182.59/x
  3. Step 3: Cross multiply
    233.28x = 351.20 × 182.59
  4. Step 4: Simplify right side
    233.28x = 64,125.19
  5. Step 5: Solve for x
    x = 64,125.19/233.28
  6. Step 6: Final answer
    x = 274.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.