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Finding the Fourth Proportional to 253.01, 349.14 and 148.09

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Solution

The fourth proportional to 253.01, 349.14 and 148.09 is: 204.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.01 : 349.14 = 148.09 : x
  2. Step 2: Convert to fraction form
    253.01/349.14 = 148.09/x
  3. Step 3: Cross multiply
    253.01x = 349.14 × 148.09
  4. Step 4: Simplify right side
    253.01x = 51,704.14
  5. Step 5: Solve for x
    x = 51,704.14/253.01
  6. Step 6: Final answer
    x = 204.36

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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.