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Finding the Fourth Proportional to 379.50, 569.54 and 196.93

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Solution

The fourth proportional to 379.50, 569.54 and 196.93 is: 295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.50 : 569.54 = 196.93 : x
  2. Step 2: Convert to fraction form
    379.50/569.54 = 196.93/x
  3. Step 3: Cross multiply
    379.50x = 569.54 × 196.93
  4. Step 4: Simplify right side
    379.50x = 112,159.51
  5. Step 5: Solve for x
    x = 112,159.51/379.50
  6. Step 6: Final answer
    x = 295.55

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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.