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Finding the Fourth Proportional to 233.66, 348.78 and 216.74

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Solution

The fourth proportional to 233.66, 348.78 and 216.74 is: 323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.66 : 348.78 = 216.74 : x
  2. Step 2: Convert to fraction form
    233.66/348.78 = 216.74/x
  3. Step 3: Cross multiply
    233.66x = 348.78 × 216.74
  4. Step 4: Simplify right side
    233.66x = 75,594.58
  5. Step 5: Solve for x
    x = 75,594.58/233.66
  6. Step 6: Final answer
    x = 323.52

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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.