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Finding the Fourth Proportional to 295.59, 407.75 and 192.09

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Solution

The fourth proportional to 295.59, 407.75 and 192.09 is: 264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.59 : 407.75 = 192.09 : x
  2. Step 2: Convert to fraction form
    295.59/407.75 = 192.09/x
  3. Step 3: Cross multiply
    295.59x = 407.75 × 192.09
  4. Step 4: Simplify right side
    295.59x = 78,323.74
  5. Step 5: Solve for x
    x = 78,323.74/295.59
  6. Step 6: Final answer
    x = 264.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.