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Finding the Fourth Proportional to 496.02, 744.14 and 187.82

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Solution

The fourth proportional to 496.02, 744.14 and 187.82 is: 281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 744.14 = 187.82 : x
  2. Step 2: Convert to fraction form
    496.02/744.14 = 187.82/x
  3. Step 3: Cross multiply
    496.02x = 744.14 × 187.82
  4. Step 4: Simplify right side
    496.02x = 139,762.86
  5. Step 5: Solve for x
    x = 139,762.86/496.02
  6. Step 6: Final answer
    x = 281.77

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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.