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Finding the Fourth Proportional to 233.64, 319.85 and 232.04

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Solution

The fourth proportional to 233.64, 319.85 and 232.04 is: 317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 319.85 = 232.04 : x
  2. Step 2: Convert to fraction form
    233.64/319.85 = 232.04/x
  3. Step 3: Cross multiply
    233.64x = 319.85 × 232.04
  4. Step 4: Simplify right side
    233.64x = 74,217.99
  5. Step 5: Solve for x
    x = 74,217.99/233.64
  6. Step 6: Final answer
    x = 317.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.