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Finding the Fourth Proportional to 295.94, 444.75 and 174.26

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Solution

The fourth proportional to 295.94, 444.75 and 174.26 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.94 : 444.75 = 174.26 : x
  2. Step 2: Convert to fraction form
    295.94/444.75 = 174.26/x
  3. Step 3: Cross multiply
    295.94x = 444.75 × 174.26
  4. Step 4: Simplify right side
    295.94x = 77,502.14
  5. Step 5: Solve for x
    x = 77,502.14/295.94
  6. Step 6: Final answer
    x = 261.88

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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.