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Finding the Fourth Proportional to 287.30, 430.38 and 133.02

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Solution

The fourth proportional to 287.30, 430.38 and 133.02 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 430.38 = 133.02 : x
  2. Step 2: Convert to fraction form
    287.30/430.38 = 133.02/x
  3. Step 3: Cross multiply
    287.30x = 430.38 × 133.02
  4. Step 4: Simplify right side
    287.30x = 57,249.15
  5. Step 5: Solve for x
    x = 57,249.15/287.30
  6. Step 6: Final answer
    x = 199.27

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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.