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Finding the Fourth Proportional to 233.62, 348.14 and 225.88

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Solution

The fourth proportional to 233.62, 348.14 and 225.88 is: 336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.62 : 348.14 = 225.88 : x
  2. Step 2: Convert to fraction form
    233.62/348.14 = 225.88/x
  3. Step 3: Cross multiply
    233.62x = 348.14 × 225.88
  4. Step 4: Simplify right side
    233.62x = 78,637.86
  5. Step 5: Solve for x
    x = 78,637.86/233.62
  6. Step 6: Final answer
    x = 336.61

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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.