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Finding the Fourth Proportional to 253.56, 349.92 and 148.63

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Solution

The fourth proportional to 253.56, 349.92 and 148.63 is: 205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.56 : 349.92 = 148.63 : x
  2. Step 2: Convert to fraction form
    253.56/349.92 = 148.63/x
  3. Step 3: Cross multiply
    253.56x = 349.92 × 148.63
  4. Step 4: Simplify right side
    253.56x = 52,006.12
  5. Step 5: Solve for x
    x = 52,006.12/253.56
  6. Step 6: Final answer
    x = 205.10

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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.