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Finding the Fourth Proportional to 346.81, 478.64 and 199.44

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Solution

The fourth proportional to 346.81, 478.64 and 199.44 is: 275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.81 : 478.64 = 199.44 : x
  2. Step 2: Convert to fraction form
    346.81/478.64 = 199.44/x
  3. Step 3: Cross multiply
    346.81x = 478.64 × 199.44
  4. Step 4: Simplify right side
    346.81x = 95,462.26
  5. Step 5: Solve for x
    x = 95,462.26/346.81
  6. Step 6: Final answer
    x = 275.26

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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.