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Finding the Fourth Proportional to 253.50, 349.82 and 148.54

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Solution

The fourth proportional to 253.50, 349.82 and 148.54 is: 204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 349.82 = 148.54 : x
  2. Step 2: Convert to fraction form
    253.50/349.82 = 148.54/x
  3. Step 3: Cross multiply
    253.50x = 349.82 × 148.54
  4. Step 4: Simplify right side
    253.50x = 51,960.65
  5. Step 5: Solve for x
    x = 51,960.65/253.50
  6. Step 6: Final answer
    x = 204.97

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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.