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Finding the Fourth Proportional to 495.56, 743.34 and 187.56

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Solution

The fourth proportional to 495.56, 743.34 and 187.56 is: 281.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.56 : 743.34 = 187.56 : x
  2. Step 2: Convert to fraction form
    495.56/743.34 = 187.56/x
  3. Step 3: Cross multiply
    495.56x = 743.34 × 187.56
  4. Step 4: Simplify right side
    495.56x = 139,420.85
  5. Step 5: Solve for x
    x = 139,420.85/495.56
  6. Step 6: Final answer
    x = 281.34

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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.