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Finding the Fourth Proportional to 493.82, 740.33 and 185.50

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Solution

The fourth proportional to 493.82, 740.33 and 185.50 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.82 : 740.33 = 185.50 : x
  2. Step 2: Convert to fraction form
    493.82/740.33 = 185.50/x
  3. Step 3: Cross multiply
    493.82x = 740.33 × 185.50
  4. Step 4: Simplify right side
    493.82x = 137,331.22
  5. Step 5: Solve for x
    x = 137,331.22/493.82
  6. Step 6: Final answer
    x = 278.10

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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.