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Finding the Fourth Proportional to 272.38, 407.86 and 150.47

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Solution

The fourth proportional to 272.38, 407.86 and 150.47 is: 225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.38 : 407.86 = 150.47 : x
  2. Step 2: Convert to fraction form
    272.38/407.86 = 150.47/x
  3. Step 3: Cross multiply
    272.38x = 407.86 × 150.47
  4. Step 4: Simplify right side
    272.38x = 61,371.34
  5. Step 5: Solve for x
    x = 61,371.34/272.38
  6. Step 6: Final answer
    x = 225.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.