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Finding the Fourth Proportional to 175.04, 261.31 and 149.08

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Solution

The fourth proportional to 175.04, 261.31 and 149.08 is: 222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.04 : 261.31 = 149.08 : x
  2. Step 2: Convert to fraction form
    175.04/261.31 = 149.08/x
  3. Step 3: Cross multiply
    175.04x = 261.31 × 149.08
  4. Step 4: Simplify right side
    175.04x = 38,956.09
  5. Step 5: Solve for x
    x = 38,956.09/175.04
  6. Step 6: Final answer
    x = 222.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.