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Finding the Fourth Proportional to 482.14, 723.14 and 135.44

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Solution

The fourth proportional to 482.14, 723.14 and 135.44 is: 203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.14 : 723.14 = 135.44 : x
  2. Step 2: Convert to fraction form
    482.14/723.14 = 135.44/x
  3. Step 3: Cross multiply
    482.14x = 723.14 × 135.44
  4. Step 4: Simplify right side
    482.14x = 97,942.08
  5. Step 5: Solve for x
    x = 97,942.08/482.14
  6. Step 6: Final answer
    x = 203.14

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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.