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Finding the Fourth Proportional to 230.86, 346.32 and 133.40

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Solution

The fourth proportional to 230.86, 346.32 and 133.40 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.86 : 346.32 = 133.40 : x
  2. Step 2: Convert to fraction form
    230.86/346.32 = 133.40/x
  3. Step 3: Cross multiply
    230.86x = 346.32 × 133.40
  4. Step 4: Simplify right side
    230.86x = 46,199.09
  5. Step 5: Solve for x
    x = 46,199.09/230.86
  6. Step 6: Final answer
    x = 200.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.