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Finding the Fourth Proportional to 279.93, 420.16 and 106.77

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Solution

The fourth proportional to 279.93, 420.16 and 106.77 is: 160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.93 : 420.16 = 106.77 : x
  2. Step 2: Convert to fraction form
    279.93/420.16 = 106.77/x
  3. Step 3: Cross multiply
    279.93x = 420.16 × 106.77
  4. Step 4: Simplify right side
    279.93x = 44,860.48
  5. Step 5: Solve for x
    x = 44,860.48/279.93
  6. Step 6: Final answer
    x = 160.26

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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.