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Finding the Fourth Proportional to 346.48, 478.22 and 199.16

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Solution

The fourth proportional to 346.48, 478.22 and 199.16 is: 274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.48 : 478.22 = 199.16 : x
  2. Step 2: Convert to fraction form
    346.48/478.22 = 199.16/x
  3. Step 3: Cross multiply
    346.48x = 478.22 × 199.16
  4. Step 4: Simplify right side
    346.48x = 95,242.30
  5. Step 5: Solve for x
    x = 95,242.30/346.48
  6. Step 6: Final answer
    x = 274.89

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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.