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Finding the Fourth Proportional to 279.60, 419.40 and 106.32

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Solution

The fourth proportional to 279.60, 419.40 and 106.32 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.60 : 419.40 = 106.32 : x
  2. Step 2: Convert to fraction form
    279.60/419.40 = 106.32/x
  3. Step 3: Cross multiply
    279.60x = 419.40 × 106.32
  4. Step 4: Simplify right side
    279.60x = 44,590.61
  5. Step 5: Solve for x
    x = 44,590.61/279.60
  6. Step 6: Final answer
    x = 159.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.