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Finding the Fourth Proportional to 332.91, 459.45 and 185.57

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Solution

The fourth proportional to 332.91, 459.45 and 185.57 is: 256.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.91 : 459.45 = 185.57 : x
  2. Step 2: Convert to fraction form
    332.91/459.45 = 185.57/x
  3. Step 3: Cross multiply
    332.91x = 459.45 × 185.57
  4. Step 4: Simplify right side
    332.91x = 85,257.84
  5. Step 5: Solve for x
    x = 85,257.84/332.91
  6. Step 6: Final answer
    x = 256.10

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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.