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Finding the Fourth Proportional to 279.90, 419.80 and 106.53

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Solution

The fourth proportional to 279.90, 419.80 and 106.53 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.90 : 419.80 = 106.53 : x
  2. Step 2: Convert to fraction form
    279.90/419.80 = 106.53/x
  3. Step 3: Cross multiply
    279.90x = 419.80 × 106.53
  4. Step 4: Simplify right side
    279.90x = 44,721.29
  5. Step 5: Solve for x
    x = 44,721.29/279.90
  6. Step 6: Final answer
    x = 159.78

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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.