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Finding the Fourth Proportional to 245.48, 368.28 and 199.71

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Solution

The fourth proportional to 245.48, 368.28 and 199.71 is: 299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.48 : 368.28 = 199.71 : x
  2. Step 2: Convert to fraction form
    245.48/368.28 = 199.71/x
  3. Step 3: Cross multiply
    245.48x = 368.28 × 199.71
  4. Step 4: Simplify right side
    245.48x = 73,549.20
  5. Step 5: Solve for x
    x = 73,549.20/245.48
  6. Step 6: Final answer
    x = 299.62

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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.