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Finding the Fourth Proportional to 346.53, 478.24 and 199.21

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Solution

The fourth proportional to 346.53, 478.24 and 199.21 is: 274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.53 : 478.24 = 199.21 : x
  2. Step 2: Convert to fraction form
    346.53/478.24 = 199.21/x
  3. Step 3: Cross multiply
    346.53x = 478.24 × 199.21
  4. Step 4: Simplify right side
    346.53x = 95,270.19
  5. Step 5: Solve for x
    x = 95,270.19/346.53
  6. Step 6: Final answer
    x = 274.93

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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.