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Finding the Fourth Proportional to 233.94, 322.62 and 197.49

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Solution

The fourth proportional to 233.94, 322.62 and 197.49 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.94 : 322.62 = 197.49 : x
  2. Step 2: Convert to fraction form
    233.94/322.62 = 197.49/x
  3. Step 3: Cross multiply
    233.94x = 322.62 × 197.49
  4. Step 4: Simplify right side
    233.94x = 63,714.22
  5. Step 5: Solve for x
    x = 63,714.22/233.94
  6. Step 6: Final answer
    x = 272.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.