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Finding the Fourth Proportional to 279.96, 420.24 and 117.75

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Solution

The fourth proportional to 279.96, 420.24 and 117.75 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.96 : 420.24 = 117.75 : x
  2. Step 2: Convert to fraction form
    279.96/420.24 = 117.75/x
  3. Step 3: Cross multiply
    279.96x = 420.24 × 117.75
  4. Step 4: Simplify right side
    279.96x = 49,483.26
  5. Step 5: Solve for x
    x = 49,483.26/279.96
  6. Step 6: Final answer
    x = 176.75

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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.