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Finding the Fourth Proportional to 224.08, 309.02 and 150.42

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Solution

The fourth proportional to 224.08, 309.02 and 150.42 is: 207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.08 : 309.02 = 150.42 : x
  2. Step 2: Convert to fraction form
    224.08/309.02 = 150.42/x
  3. Step 3: Cross multiply
    224.08x = 309.02 × 150.42
  4. Step 4: Simplify right side
    224.08x = 46,483.20
  5. Step 5: Solve for x
    x = 46,483.20/224.08
  6. Step 6: Final answer
    x = 207.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.