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Finding the Fourth Proportional to 238.07, 354.93 and 232.08

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Solution

The fourth proportional to 238.07, 354.93 and 232.08 is: 346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.07 : 354.93 = 232.08 : x
  2. Step 2: Convert to fraction form
    238.07/354.93 = 232.08/x
  3. Step 3: Cross multiply
    238.07x = 354.93 × 232.08
  4. Step 4: Simplify right side
    238.07x = 82,371.57
  5. Step 5: Solve for x
    x = 82,371.57/238.07
  6. Step 6: Final answer
    x = 346.00

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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.