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Finding the Fourth Proportional to 276.47, 381.55 and 158.45

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Solution

The fourth proportional to 276.47, 381.55 and 158.45 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 381.55 = 158.45 : x
  2. Step 2: Convert to fraction form
    276.47/381.55 = 158.45/x
  3. Step 3: Cross multiply
    276.47x = 381.55 × 158.45
  4. Step 4: Simplify right side
    276.47x = 60,457.33
  5. Step 5: Solve for x
    x = 60,457.33/276.47
  6. Step 6: Final answer
    x = 218.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.