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Finding the Fourth Proportional to 279.86, 419.85 and 117.57

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Solution

The fourth proportional to 279.86, 419.85 and 117.57 is: 176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.86 : 419.85 = 117.57 : x
  2. Step 2: Convert to fraction form
    279.86/419.85 = 117.57/x
  3. Step 3: Cross multiply
    279.86x = 419.85 × 117.57
  4. Step 4: Simplify right side
    279.86x = 49,361.76
  5. Step 5: Solve for x
    x = 49,361.76/279.86
  6. Step 6: Final answer
    x = 176.38

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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.