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Finding the Fourth Proportional to 238.02, 354.71 and 230.69

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Solution

The fourth proportional to 238.02, 354.71 and 230.69 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.02 : 354.71 = 230.69 : x
  2. Step 2: Convert to fraction form
    238.02/354.71 = 230.69/x
  3. Step 3: Cross multiply
    238.02x = 354.71 × 230.69
  4. Step 4: Simplify right side
    238.02x = 81,825.12
  5. Step 5: Solve for x
    x = 81,825.12/238.02
  6. Step 6: Final answer
    x = 343.77

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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.