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Finding the Fourth Proportional to 322.94, 483.72 and 160.28

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Solution

The fourth proportional to 322.94, 483.72 and 160.28 is: 240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 483.72 = 160.28 : x
  2. Step 2: Convert to fraction form
    322.94/483.72 = 160.28/x
  3. Step 3: Cross multiply
    322.94x = 483.72 × 160.28
  4. Step 4: Simplify right side
    322.94x = 77,530.64
  5. Step 5: Solve for x
    x = 77,530.64/322.94
  6. Step 6: Final answer
    x = 240.08

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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.