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Finding the Fourth Proportional to 224.68, 310.02 and 131.42

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Solution

The fourth proportional to 224.68, 310.02 and 131.42 is: 181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.68 : 310.02 = 131.42 : x
  2. Step 2: Convert to fraction form
    224.68/310.02 = 131.42/x
  3. Step 3: Cross multiply
    224.68x = 310.02 × 131.42
  4. Step 4: Simplify right side
    224.68x = 40,742.83
  5. Step 5: Solve for x
    x = 40,742.83/224.68
  6. Step 6: Final answer
    x = 181.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.