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Finding the Fourth Proportional to 253.72, 350.10 and 148.78

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Solution

The fourth proportional to 253.72, 350.10 and 148.78 is: 205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.72 : 350.10 = 148.78 : x
  2. Step 2: Convert to fraction form
    253.72/350.10 = 148.78/x
  3. Step 3: Cross multiply
    253.72x = 350.10 × 148.78
  4. Step 4: Simplify right side
    253.72x = 52,087.88
  5. Step 5: Solve for x
    x = 52,087.88/253.72
  6. Step 6: Final answer
    x = 205.30

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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.