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Finding the Fourth Proportional to 233.11, 321.65 and 133.53

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Solution

The fourth proportional to 233.11, 321.65 and 133.53 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.11 : 321.65 = 133.53 : x
  2. Step 2: Convert to fraction form
    233.11/321.65 = 133.53/x
  3. Step 3: Cross multiply
    233.11x = 321.65 × 133.53
  4. Step 4: Simplify right side
    233.11x = 42,950.26
  5. Step 5: Solve for x
    x = 42,950.26/233.11
  6. Step 6: Final answer
    x = 184.25

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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.