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Finding the Fourth Proportional to 379.98, 569.94 and 106.10

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Solution

The fourth proportional to 379.98, 569.94 and 106.10 is: 159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.98 : 569.94 = 106.10 : x
  2. Step 2: Convert to fraction form
    379.98/569.94 = 106.10/x
  3. Step 3: Cross multiply
    379.98x = 569.94 × 106.10
  4. Step 4: Simplify right side
    379.98x = 60,470.63
  5. Step 5: Solve for x
    x = 60,470.63/379.98
  6. Step 6: Final answer
    x = 159.14

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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.