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Finding the Fourth Proportional to 150.69, 224.79 and 137.01

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Solution

The fourth proportional to 150.69, 224.79 and 137.01 is: 204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 224.79 = 137.01 : x
  2. Step 2: Convert to fraction form
    150.69/224.79 = 137.01/x
  3. Step 3: Cross multiply
    150.69x = 224.79 × 137.01
  4. Step 4: Simplify right side
    150.69x = 30,798.48
  5. Step 5: Solve for x
    x = 30,798.48/150.69
  6. Step 6: Final answer
    x = 204.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.