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Finding the Fourth Proportional to 285.64, 394.08 and 169.20

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Solution

The fourth proportional to 285.64, 394.08 and 169.20 is: 233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.64 : 394.08 = 169.20 : x
  2. Step 2: Convert to fraction form
    285.64/394.08 = 169.20/x
  3. Step 3: Cross multiply
    285.64x = 394.08 × 169.20
  4. Step 4: Simplify right side
    285.64x = 66,678.34
  5. Step 5: Solve for x
    x = 66,678.34/285.64
  6. Step 6: Final answer
    x = 233.43

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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.