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Finding the Fourth Proportional to 495.40, 743.16 and 187.18

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Solution

The fourth proportional to 495.40, 743.16 and 187.18 is: 280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 743.16 = 187.18 : x
  2. Step 2: Convert to fraction form
    495.40/743.16 = 187.18/x
  3. Step 3: Cross multiply
    495.40x = 743.16 × 187.18
  4. Step 4: Simplify right side
    495.40x = 139,104.69
  5. Step 5: Solve for x
    x = 139,104.69/495.40
  6. Step 6: Final answer
    x = 280.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.