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Finding the Fourth Proportional to 175.06, 261.98 and 149.07

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Solution

The fourth proportional to 175.06, 261.98 and 149.07 is: 223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.06 : 261.98 = 149.07 : x
  2. Step 2: Convert to fraction form
    175.06/261.98 = 149.07/x
  3. Step 3: Cross multiply
    175.06x = 261.98 × 149.07
  4. Step 4: Simplify right side
    175.06x = 39,053.36
  5. Step 5: Solve for x
    x = 39,053.36/175.06
  6. Step 6: Final answer
    x = 223.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.