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Finding the Fourth Proportional to 250.48, 345.53 and 149.49

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Solution

The fourth proportional to 250.48, 345.53 and 149.49 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.48 : 345.53 = 149.49 : x
  2. Step 2: Convert to fraction form
    250.48/345.53 = 149.49/x
  3. Step 3: Cross multiply
    250.48x = 345.53 × 149.49
  4. Step 4: Simplify right side
    250.48x = 51,653.28
  5. Step 5: Solve for x
    x = 51,653.28/250.48
  6. Step 6: Final answer
    x = 206.22

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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.