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Finding the Fourth Proportional to 287.29, 396.53 and 163.02

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Solution

The fourth proportional to 287.29, 396.53 and 163.02 is: 225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.29 : 396.53 = 163.02 : x
  2. Step 2: Convert to fraction form
    287.29/396.53 = 163.02/x
  3. Step 3: Cross multiply
    287.29x = 396.53 × 163.02
  4. Step 4: Simplify right side
    287.29x = 64,642.86
  5. Step 5: Solve for x
    x = 64,642.86/287.29
  6. Step 6: Final answer
    x = 225.01

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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.