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Finding the Fourth Proportional to 231.95, 320.15 and 133.77

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Solution

The fourth proportional to 231.95, 320.15 and 133.77 is: 184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.95 : 320.15 = 133.77 : x
  2. Step 2: Convert to fraction form
    231.95/320.15 = 133.77/x
  3. Step 3: Cross multiply
    231.95x = 320.15 × 133.77
  4. Step 4: Simplify right side
    231.95x = 42,826.80
  5. Step 5: Solve for x
    x = 42,826.80/231.95
  6. Step 6: Final answer
    x = 184.64

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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.