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Finding the Fourth Proportional to 295.99, 443.64 and 174.09

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Solution

The fourth proportional to 295.99, 443.64 and 174.09 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.99 : 443.64 = 174.09 : x
  2. Step 2: Convert to fraction form
    295.99/443.64 = 174.09/x
  3. Step 3: Cross multiply
    295.99x = 443.64 × 174.09
  4. Step 4: Simplify right side
    295.99x = 77,233.29
  5. Step 5: Solve for x
    x = 77,233.29/295.99
  6. Step 6: Final answer
    x = 260.93

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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.