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Finding the Fourth Proportional to 544.84, 817.12 and 160

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Solution

The fourth proportional to 544.84, 817.12 and 160 is: 239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.84 : 817.12 = 160 : x
  2. Step 2: Convert to fraction form
    544.84/817.12 = 160/x
  3. Step 3: Cross multiply
    544.84x = 817.12 × 160
  4. Step 4: Simplify right side
    544.84x = 130,739.20
  5. Step 5: Solve for x
    x = 130,739.20/544.84
  6. Step 6: Final answer
    x = 239.96

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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.