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Finding the Fourth Proportional to 287.48, 430.85 and 133.47

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Solution

The fourth proportional to 287.48, 430.85 and 133.47 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.48 : 430.85 = 133.47 : x
  2. Step 2: Convert to fraction form
    287.48/430.85 = 133.47/x
  3. Step 3: Cross multiply
    287.48x = 430.85 × 133.47
  4. Step 4: Simplify right side
    287.48x = 57,505.88
  5. Step 5: Solve for x
    x = 57,505.88/287.48
  6. Step 6: Final answer
    x = 200.03

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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.