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Finding the Fourth Proportional to 224.49, 309.47 and 150.65

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Solution

The fourth proportional to 224.49, 309.47 and 150.65 is: 207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.49 : 309.47 = 150.65 : x
  2. Step 2: Convert to fraction form
    224.49/309.47 = 150.65/x
  3. Step 3: Cross multiply
    224.49x = 309.47 × 150.65
  4. Step 4: Simplify right side
    224.49x = 46,619.35
  5. Step 5: Solve for x
    x = 46,619.35/224.49
  6. Step 6: Final answer
    x = 207.67

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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.