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Finding the Fourth Proportional to 497.27, 746.27 and 185.20

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Solution

The fourth proportional to 497.27, 746.27 and 185.20 is: 277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.27 : 746.27 = 185.20 : x
  2. Step 2: Convert to fraction form
    497.27/746.27 = 185.20/x
  3. Step 3: Cross multiply
    497.27x = 746.27 × 185.20
  4. Step 4: Simplify right side
    497.27x = 138,206.41
  5. Step 5: Solve for x
    x = 138,206.41/497.27
  6. Step 6: Final answer
    x = 277.93

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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.