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Finding the Fourth Proportional to 287.45, 430.25 and 150.31

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Solution

The fourth proportional to 287.45, 430.25 and 150.31 is: 224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.45 : 430.25 = 150.31 : x
  2. Step 2: Convert to fraction form
    287.45/430.25 = 150.31/x
  3. Step 3: Cross multiply
    287.45x = 430.25 × 150.31
  4. Step 4: Simplify right side
    287.45x = 64,668.24
  5. Step 5: Solve for x
    x = 64,668.24/287.45
  6. Step 6: Final answer
    x = 224.97

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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.