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Finding the Fourth Proportional to 346.85, 478.64 and 199.48

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Solution

The fourth proportional to 346.85, 478.64 and 199.48 is: 275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.85 : 478.64 = 199.48 : x
  2. Step 2: Convert to fraction form
    346.85/478.64 = 199.48/x
  3. Step 3: Cross multiply
    346.85x = 478.64 × 199.48
  4. Step 4: Simplify right side
    346.85x = 95,476.71
  5. Step 5: Solve for x
    x = 95,476.71/346.85
  6. Step 6: Final answer
    x = 275.27

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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.