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Finding the Fourth Proportional to 303.86, 455.93 and 188.44

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Solution

The fourth proportional to 303.86, 455.93 and 188.44 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.86 : 455.93 = 188.44 : x
  2. Step 2: Convert to fraction form
    303.86/455.93 = 188.44/x
  3. Step 3: Cross multiply
    303.86x = 455.93 × 188.44
  4. Step 4: Simplify right side
    303.86x = 85,915.45
  5. Step 5: Solve for x
    x = 85,915.45/303.86
  6. Step 6: Final answer
    x = 282.75

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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.