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Finding the Fourth Proportional to 279.16, 418.62 and 96.53

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Solution

The fourth proportional to 279.16, 418.62 and 96.53 is: 144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.16 : 418.62 = 96.53 : x
  2. Step 2: Convert to fraction form
    279.16/418.62 = 96.53/x
  3. Step 3: Cross multiply
    279.16x = 418.62 × 96.53
  4. Step 4: Simplify right side
    279.16x = 40,407.11
  5. Step 5: Solve for x
    x = 40,407.11/279.16
  6. Step 6: Final answer
    x = 144.75

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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.