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Finding the Fourth Proportional to 233.84, 348.80 and 225.44

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Solution

The fourth proportional to 233.84, 348.80 and 225.44 is: 336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 348.80 = 225.44 : x
  2. Step 2: Convert to fraction form
    233.84/348.80 = 225.44/x
  3. Step 3: Cross multiply
    233.84x = 348.80 × 225.44
  4. Step 4: Simplify right side
    233.84x = 78,633.47
  5. Step 5: Solve for x
    x = 78,633.47/233.84
  6. Step 6: Final answer
    x = 336.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.