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Finding the Fourth Proportional to 295.99, 444.52 and 193.49

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Solution

The fourth proportional to 295.99, 444.52 and 193.49 is: 290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.99 : 444.52 = 193.49 : x
  2. Step 2: Convert to fraction form
    295.99/444.52 = 193.49/x
  3. Step 3: Cross multiply
    295.99x = 444.52 × 193.49
  4. Step 4: Simplify right side
    295.99x = 86,009.86
  5. Step 5: Solve for x
    x = 86,009.86/295.99
  6. Step 6: Final answer
    x = 290.59

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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.